Aptitude - Clock - Discussion

Discussion :: Clock - General Questions (Q.No.4)

4. 

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

[A].
59 7 min. past 3
12
[B]. 4 p.m.
[C].
58 7 min. past 3
11
[D].
2 3 min. past 4
11

Answer: Option B

Explanation:

Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. = 37 hrs.
4

3 min. 5 sec. of this clock = 3 min. of the correct clock.

37 hrs of this clock = 1 hrs of the correct clock.
720 20

37 hrs of this clock = 1 x 720 x 37 hrs of the correct clock.
4 20 37 4

      = 9 hrs of the correct clock.

The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.


Jaslin said: (Jul 12, 2010)  
How we got 37/720 ?

Khalid said: (Aug 1, 2010)  
For 9 hrs the clock gains 15 min. Then what about the remaining 15 min in the quarter past 4. ? can't understand. ?

Bala said: (Aug 6, 2010)  
Hai Jaslin,

To convert mins and secs into hrs we do:

(3/60)+(5/(60*60)) = 185/3600 = 37/720.

I think u might be clear of this.

Saranya said: (Sep 29, 2010)  
How did you get 185 ?

Swetha said: (Oct 3, 2010)  
Can anybody tell me how did we get '1/20 hrs of the correct clock' ?

Ajay said: (Oct 4, 2010)  
@Swetha

3 min converted into hours by dividing with 60.

3/60 hrs = 1/20 hrs.

Nitesh Nandwana said: (Oct 13, 2010)  
@Saranya

(3/60)+(5/(60*60)) = 185/3600 = 37/720.

185, it is simple calculation babes.

Vinu said: (Dec 13, 2010)  
Any body understand last step? can you explain?

Shyam said: (Dec 26, 2010)  
why 720/37?

Nitin said: (Dec 28, 2010)  
From 7am to 4:15pm the time traveled will be 9 hours and 15 min.
So in minutes it will be (9*60)+15=540+15=555
After every 3 min the clock will add 5 second,so in 555 min no of
seconds that will be added=(555/3)*5=925 seconds=925/60min=15min and 25sec
so the correct time will be=CURRENT TIME(that is 4:15pm)-(15min and 25 sec)
=3:59:35pm
35 seconds in min-->35/60=7/12min
so the correct answer must be 59(7/12) which is ""A""

[But this is wrong, read Sundar's explanation given below]

Smartsuru said: (Jan 5, 2011)  
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m? what does it actually means?

Ans: Whenever a original clock runs for 3 min (180 sec) the given clock will run 3 min 5 sec (185 sec).

Jimeet said: (Jan 11, 2011)  
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m?????? what does it actually means??...i had solved it by d way as nitin described..so wts the correct answer,as they hav ignored the 25secs and according to them correct time is 4....wt abt 25 sec....

Archana said: (Feb 16, 2011)  
Can anyone plz tell me how we got below line?

9 hrs 15 min. = 37/4 hrs.

Sundar said: (Feb 17, 2011)  
@Archana

It is simple yaar.

9 hrs = (9 x 60) = 540 mins

9 hrs 15 min = (540 + 15) = 555 min.

Now, convert 555 mins to hrs by dividing it by 60 (bcz 60min = 1hr) ok.

Therefore, 555/60 = 37/4 hrs.

That's all. Hope this help you. Have a nice day!

Akhil said: (Mar 18, 2011)  
NITIN CREATE CONFUSION

Sundar said: (Apr 19, 2011)  
To: Nitin

You are wrong. The given answer is correct. Don't get confused.

Let me explain in simple manner:

Error Clock :: Original Clock

3 min 5 sec :: 3 min

185 sec :: 180 sec

[9 hr 15 min = 555 min = 33300 sec]

33300 sec :: (180/185 x 33300) sec

33300 sec :: 32400 sec

333000sec = 9 hrs 15 min :: 32400 sec = 9 hrs [:. 32400/3600 = 9]

So,
Time passed by Error clock = 9 hrs 15 min.
Time passed by Original clock = 9 hrs.

Therefore, 9 hrs after 7 am is 4 pm.


Note: What was wrong in Nitin's explanation?

555/3 <--- Problem is here.

It should be

555 min/3 min 5 sec [or] 33300/185

Please think twice before solve problem. Hope this will help you. All the best!

Aish said: (Apr 29, 2011)  
@Sundar:

Nice yaar :-)

Jaya said: (Jun 12, 2011)  
Thanks sundar. Done in a simple manner.

Faiz said: (Aug 7, 2011)  
Thanks sundar! :) cheers :).

Gowthami said: (Aug 13, 2011)  
Thanks ya. This is very simple.

Verkha said: (Sep 1, 2011)  
How we got 4. 15 pm and 3 min. 5 sec. Of this clock = 3 min. Of the correct clock? Please I'm unable understand.

Anurag said: (Sep 21, 2011)  
In 3 MIN = The clock gains 5 sec.
in 60 min(3 * 20) = clock gains 100 sec(5 * 20)
= i.e 100/60 min
= 5/3 min
So , If correct clock shows 1 hour=den da wrong clock shows 1 hr 5/3 min..
i.e
1 hr=1 hr 5/3 min
=1 * 5/(3*60) hour (convert to hour)
=37/36 hour

But we need to do reverse..
i.e
37/36 hrs(in wrong clock) = 1 hr
1 hour in wrong clock = 1/(37/36)=36/37 hr

9hr 15min=37/4 hrs

So
37/4 hours in wrong clock =36/37 * 37/4
= 9
So 7 a.m + 9 hrs= 4 pm ....

I hope every1 got it...

Deepak said: (Oct 25, 2011)  
I have a different view for this question..
Its is straight from the question that the watch gains 1/12 min( 5 seconds) for every 3 min.
Den from 7 am to 4.15 PM its totally 555 min...

Now watch would have totally gained (1/12)*555/3= 15 5/12 min.
Therefore actual time would be (4.15 PM - 15 5/12 min) 3PM 59 7/12 min

Natasha said: (Nov 2, 2011)  
In 3 min gain is 5 sec
so in 15 min gain is 25 sec
and in 60 min gain will be 100 sec
so in 9 hours and 15 min gain will be
925 sec i.e. 925/60 = 15 5/12
so correct ans is 3pm 59 7/12 min
Tell me whats wrong in my explanation ?

Poornima said: (Nov 16, 2011)  
The answer in 59 7/12 min past 3.
because 7a.m-4.15p.m toatl time is 9hrs 15mins
Total 555 secs.
actually the clock gains 5secs in 3mins.
then in 555mins the clock gains 15mins5/12sec.
now the clock shows 4.15.
then less the gaining time.
4.15-15mins5/12=59min 7/12secs past 3.

Bhaskar said: (Dec 1, 2011)  
From 7am to 4:15pm the time gap is 9hr and 15 minutes.
actually there is twenty "3minutes" in an hour.
so for 9hrs 9*20=180(3minutes in 9hrs)
in 15minutes ther are five '3minutes'

So total 185'threeminutes'in between 7am to 4:15pm

So total 185*5=925sec(925\60=15) are fast i.e 15minutes

Meenu said: (Dec 28, 2011)  
Hi Sundar...

Please help me out.. I did not understand after this step...
[9 hr 15 min = 555 min = 33300 sec]

33300 sec :: (180/185 x 33300) sec

33300 sec :: 32400 sec

333000sec = 9 hrs 15 min :: 32400 sec = 9 hrs [:. 32400/3600 = 9]

So,
Time passed by Error clock = 9 hrs 15 min.
Time passed by Original clock = 9 hrs.

Therefore, 9 hrs after 7 am is 4 pm.

Sundar said: (Dec 28, 2011)  
@Meenu

If Error-Clock passes 185 secs then Original-Clock passes 180 sec only.

So, If Error-Clock passes 33300 secs (ie 9 hr 15 min) then Original-Clock passes 32400 sec only.

Hope you got it. Have a nice day!

C.M.Rafeek.Moothedam said: (Feb 12, 2012)  
Given->
for 185 seconds of wrong time 180 seconds is correct time;
So 33300 seconds of wrong seconds what will be the correct seconds?

Surely its 180*33300/185 ie 32400 seconds. ie 9 hrs (32400/3600).

To get the correct time add 9 hrs to 7.00 am ie 4.00 pm
****************************************************************
How I got 33300 seconds ?

From 7.00 am to 4.15 pm its 9 hrs and 15 seconds ie 9*60*60 + 15*60 seconds =33300 seconds )

Is it simple ?

Chandana said: (Jun 8, 2012)  
Can anybody explain clearly how 37/4hrs of wrong clk converted to 9hrs of correct clock.

Puneet said: (Jun 9, 2012)  
Hey if looking pointwise wats wrong in this :-
3 min = 5 sec

total min. covered uptill 9:15 is : 555 min. =5/3 * 555 == 925 sec (toatl error)

Now converting into min:- 925/60= 15 5/12 min

Subtracting from the time right now to get actually what the error:- 4 hrs 15 min- 15 5/12 min

Ans:- 59 7/12min past 3 hr

Mamta said: (Jun 19, 2012)  
Hey friends can't we do in this way.

3min=5sec.

1hr=100sec.

9. 15hr=925sec.

925/60=15 min.

So the excess time is 15 min.

So, 9.15 hr-15min = 9hr.

i.e. 4 P.M.

Mohan said: (Aug 18, 2012)  
@Mamta.

Thanks. Your explanation is good and very easy to understand.

Rinkul Kamboj said: (Oct 29, 2012)  
We do it in this way.

3min=5sec.
1hr=100sec.
9.15hr=925sec.

You made mistake now in division
925/60=15 min.
But ans will be 925/60=15.416667 or 15 7/12

So the excess time is 15 min.

So, 9.15 hr - 15min7/12sec = 59 7/12min past 3 hr.

P.V.N said: (Feb 8, 2013)  
For 9 hrs its 9x60=540 minutes.
In 540 minutes (540/3)=180 i.e 180 times 3 minutes are there for each 3 minute it is 5 second then 180x5=900 seconds 900/60=15 minutes, which is extra to be subtracted from 4.15 pm. So 4 is the answer.

Vivek said: (Mar 4, 2013)  
x+((x*5)/(3*60))=555*60.
Find x?

x is the seconds between 7am and correct time.
555 is minutes between 7am and wrong time.

Find x and convert to hrs getting x as 32400 sec.
Then converted to hrs.

32400/3600= 9 hrs.

7am+ 9hrs=4PM.

Nagesh Einstein said: (May 14, 2013)  
Actually Sundar's explanation is correct.

Don't get confusion. The question is about two clocks (accurate clock and the error clock). So many of you confused.. 59 7/12 past 3 is wrong because, you are considering only one clock.. you went wrong while dividing 555 minute by 3.. in reality... 555 minutes are passed in ERROR CLOCK,

So you must divide 555 by 3 min 5 seconds (OR 555*60=33300 seconds divided by 3*60+5=185 seconds) Then you will get the right answer.

Praveen said: (Aug 14, 2013)  
FAULT CLOCK CORRECT CLOCK

7am < ---------------- > 7am
8am 100 sec < ------------ > 8am
9am 200 sec < ------------ > 9am

So on..

4pm 900 sec < ------------ > 4pm

So 4pm 900 sec = 4pm 900/60 min = 4pm 15 min.

Therefore when Fault clock shows the time 4pm 15 min the Correct clock will show 4pm.

So correct answer is 4pm.

Anusha said: (Sep 20, 2013)  
Still I'm confused how the 37/720 hrs is equal to 1/20 hrs.

Soujanya said: (Sep 28, 2013)  
Why they are multiplying the values at last to get 9 hrs? I am confused here. Rest all is clear. Please help me.

Soujanya said: (Sep 28, 2013)  
Can anyone tell the reason behind the multiplication [1/20*720/37*37/4]?

Vivek said: (Sep 29, 2013)  
Time from 7 a.m to 4:15 p.m = 9hr 15min.

= 9*60min+15min = 555min.

3min 5sec clock(wrong) = 3min (correct).

3*60sec+5sec = 3*60 sec.

185sec = 180sec.

If 1 sec = 180/185 sec.

Then 555 min = (180/185)*555.

= 540 min.

= 9hr.

Than correct answer is 7a.m +9hr = 4p.m.

Kakoli said: (Nov 12, 2013)  
But it is stated in the question that the wrong clock gains 5 sec in 3 mint. Does it mean that it is 3 mint 5 secs fast?

I'm confused. Someone please explain it for me.

Azar said: (Nov 21, 2013)  
Time from 7 a.m to 4:15 p.m = 9hr 15min. Please explain the above line. how to get the answer "9 hrs 15 min"?

Asharani.K said: (Nov 29, 2013)  
@Asha.

Given that the "clock was set right at 7:00am". So, I think there is no error in time further. Hence at 4:00pm the time is 4:00pm itself.

Please suggest me if I'm wrong.

B Rajesh Kannan said: (Dec 8, 2013)  
Dear Asha,

The clock set right at 7.00 am but thereafter it gains 5 seconds every 3 minutes, hence we have to calculate the correct time.

Banu said: (Dec 8, 2013)  
What is mean by "when the watch indicated quarter past 4 o'clock"?

Praveensiva said: (Dec 17, 2013)  
How 55 minute spaces are gained by the minute hand in 60 minutes?

Sha said: (Jan 6, 2014)  
Four clocks rang 18 24 40 60 min respectively. If four clocks will rang at 5 o'clock then when will they rang again at same time.

Xxxx said: (Jan 13, 2014)  
Total hours between 7 a.m to 4.15 p.m is 9 hrs 15 min.

3 min gains 5 seconds.
15 min gains 25 seconds.
60 min gains 100 seconds.
i.e. 1 hour gains 100 seconds.
i.e. 9 hours gains 900 seconds.
i.e. 9 hours 15 min gains 900+25 = 925 seconds.
Now, 9 hours 15 min = 33300 seconds.

The correct time is = 33300 - 925 = 32375 seconds.
= 32375/3600 .
= 8.99 hr = 9 hr.

Therefore the correct time is 4 p.m.

M.Arul said: (Jan 13, 2014)  
Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. = 37/4 hrs.

3 min. 5 sec. of this clock = 3 min. of the correct clock.

37/720hrs of this clock = 1 /20hrs of the correct clock.
(Convert into hours in both sides).

(37/720)x 1 hrs of this clock = 1 /20hrs of the correct clock.

1 hrs of this clock = (1 /20)* (720/37) hrs of the correct clock.

(37/4) hrs of this clock = (1 /20)* (720/37)*(37/4) hrs of the correct clock.
i.e. = 9 hrs.

i.e. The correct time of the clock is 4 p.m.

Ad_Mgt said: (Mar 12, 2014)  
The problem is with the calculation of 9hr 15min=555 minutes. This value is associated with the erroneous clock. You need to convert it for the true clock. As per data, we can write,

3 mins in the true clock equals 3 min 5 seconds (3+5/60 or 37/12 minutes) in erroneous clock. Thus we have

37/12 mins of erroneous clock equals 3 mins of true clock.
1 mins of erroneous clock equals (3*12/37) mins of true clock.
555 mins of erroneous clock equals (3*12*555/37)=540 mins of true clock.

540 minutes = 540/60 hours = 9 hours. The actual time is (7+9) hours = 16 hours = 4P.M.

Yes!! said: (May 31, 2014)  
@Praveen you got simple & sweet logic. My answer was A.
Here it is:

(9*60)+15=540+15=555min.

(555/3)*5=925 seconds=925/60min=15min and 25sec.

4:15pm)-(15min and 25 sec)=3:59:35pm.

35 sec in min= 35/60=7/12min.

59(7/12).

But you got simple one and correct too.
Thanks buddy!

Three said: (Jun 4, 2014)  
Why do you get 3 mins in every 3mins 5 secs of the time? :(.

Bharath said: (Jul 29, 2014)  
Time between 7AM to 4.15PM = 9 hours 15 Minutes = 9+15/60 hours = 9+1/4 hours = ((9*4)+1)/4 hours = (36+1)/4 hours = 37/4 hours.

Now 3 Minutes 5 seconds of this clock = 3 minutes of the correct clock--------(1).

So, by converting above into hours we get,
First we convert into minutes,

3+5/60 = 3+1/12 = ((3*12)+1)/12 = 37/12 ---------(2).

Now we convert above result into Hours, we get 37/12*60 = 37/720 hours.

And on right side of equation 1, 3 minutes after converting into hours becomes 3/60 hours that is 1/20 hours----------(3).

So from equations 1, 2, 3 we get,
37/720 hours of this clock = 1/20 hours of correct clock.

Then 37/4 hours of this clock = (1/20)*(37/4)*(720/37) = 9 hours.
Therefore correct time is 7+9 hours = 16 Hours on 24 clock, that is 4PM on 12 hours clock.

Anaj Hussain said: (Aug 6, 2014)  
How we got 37/720 ? please tell me any one.

Ankita said: (Sep 18, 2014)  
How 37/4 becomes not understood?

Javad said: (Sep 27, 2014)  
Leave all worries guys think practically.

For 3 min 5 sec gain.

Then for 15 min 25 sec, for 1 hour 100 sec i.e. 1.5 min and 10 sec.

For 9 hr 15 min it is 13.5 (i.e. 1.5*9) + 1.5 (i.e. Remaining 10 sec*9).

So totally 13.5+1.5= 15 min gain.

That is 4op o'clock.

Sai Kumar said: (Jan 18, 2015)  
3 past 5 seconds = 3 mins. There is no such one in the question.

How you took that one? Can you explain clearly?

Sasi said: (Feb 19, 2015)  
For 3 mins 5 sec gain.

i.e for 180 sec clock shows 185 sec.

That means for every hour it's shows 1 min 40 sec more than actual time.

We need to calculate actual time when clock shows 4:15 pm.

Given that time set at 7 am so the difference between 7 to 4:15 is 9:15 hours.

Clock showing us 1 min 40 secs more for every hour then for 9 hours 15 secs it shows 15 mins fast.

So the answer is 4 pm.

Vivek said: (Mar 22, 2015)  
Correct answer is (A).

In 3 min fast is - 5 sec.
In 1 min fast is - 5/3 sec.

In 60 min fast is - 5/3*60 - 100 sec.
So 1 hr fast is - 100 sec.
In 9 hr 25 sec - 925 sec.

Si actually fast is - 900 sec + 25 sec = 900/60+25/60 = 15 5/12 min.

So actual time is = 3 hr 59*7/12.

Kasinath@Hyd said: (May 19, 2015)  
7am to 4:15====>is 9hrs and 15 min.

3min ====EXCEEDS===> 5sec.

15min==============> 25sec equation (1).

1hr (60min) =========> 100sec.

====================

======So on=========

====================

9hr=================> 900sec equation (2).

9:15 == equation(1)+equation(2) => 925 sec i.e. in 9:15 min time exceeded by 15 min.

Therefore time is 4 pm and not 4:15.

Pooja said: (Jul 30, 2015)  
From 7 am to 4 pm, We are getting 900 sec gain, which is 900/60 = 15 min gain.

Now, the question has asked what will be the actual time when it is showing 4:15 pm.

Now, at 4 pm it already has gained 15 min, i.e. it is showing 4:15 pm already.

I was doing it wrong when I took 900 + 25 sec, where 25 sec was for 4 to 4:15 pm, which is wrong.

We are not asked to calculate time at 4:15 pm, we are asked for 4 pm.

Sachin said: (Aug 7, 2015)  
A clock is showing 14:19, what will time after 14399999991 min.

Akhil Sunder said: (Aug 7, 2015)  
How 37/720 is changed to 720/37?

Shilpa said: (Aug 12, 2015)  
Can't understand why 3 min 5 sec corrected to 3:00 min?

Abhijit.K said: (Sep 8, 2015)  
In 3 mins clock gains 5 sec.

15 mins -- -- 25 sec.

6o mins --- ----- 100 sec.

Now, from 7 am to 4:15 pm total time = 9 hrs 15 mins.

So, in 9 hrs clock gains = 9*100 = 900 sec.

In 15 mins -- --- = 25 sec.

Therefore, total gain by the clock in these 9 hrs 15 mins = (900/60+25/60) = 15 min 5/12 sec.

Hence correct time will be 59*7/12 min past 3.

Sai Charan Reddy said: (Sep 15, 2015)  
I think the correct option is A. From 7 am to 4:15 pm, number of minutes passed is 555 min. As given for every 3 min it gains an extra 3 seconds.

So 555/3 = 185 min. Therefore 185*(5/60) = 15*5/12, so subtract 4:15 with 15*5/12, we get 59*7/12 min past 3.

Anandkumar.A said: (Dec 2, 2015)  
Hi guys anyone explain about the (3/60) + (5/(60*60)) = 185/3600 = 37/720. Calculation please.

Sai Sowmya said: (Dec 31, 2015)  
@Anandkumar.

Calculation is simple.

3/60 = 1/20.

5/60*60 = 5/3600 = 1/720.

Now add both the values ==> 1/20+1/720 = 37/720.

Dhanababu said: (Mar 4, 2016)  
Hai friends,

I think we have to find the error.
Clock gains 5 sec in 180sec of actual clock.

So,

The error is 5 sec in 185 sec. in errored clock.
In error clock. The passed time is 9H and 15min.

Which is equal to 555 min.(9 * 60 + 15).
Thus it is 33300 in sec.

We have 5 sec error for every 185 sec.
So for 33300 sec we have 900 sec error. (33300 * 5/185).

Error in min. is 15 (900 sec / 60).

So the actual time is 4:00pm (4:15 - 15 min).

I hope you all understood.

Manisha said: (Apr 20, 2016)  
I can't understand this, please can anyone explain it in a better way?

Vithya said: (May 10, 2016)  
@Manisha.

I hope this will help you.

5 sec gained in 3 min, so,convert 3 min into 1 hr (for convenience).

(5*20)sec gained in (3*20)min.
100 sec gained in 1 hr (60 min=1 hr).
The total duration b/w 7 am to 4.15 pm = 9.15 (9 hr 15 min).

(15 min = 1/4 hr) so, 9.15 = 9 hr + 1/4 hr = 37/4 hrs.

In 1 hr 100 sec gained so, in 37/4 hrs ?
(37/4)*100 = 37*25 = 925 sec.

Convert sec into min:
925 sec = 925/60 min = 15.41 min (approx 15 min).

True time calculation:

Time is to be gained so, clock running fast. To find the true time , we need to subtract 15 min from 4.15.

Then, true time = 4.15 - 15 min = 4 pm.

Dedeepya said: (May 12, 2016)  
Can anyone tell me why can't we go with the below process?

For each 3 mins, it gains 5 secs.

So from 7 a.m to 4:15 pm it is 555 mins.

=> It gains 555*5/3 secs or (555*5)/(3*60) mins = 15.425 min.
i.e 15 + 5/12 mins.

So deducting this extra time from 4:15 pm we get 59'7/12 mins past 3.

Please, tell me where I am wrong.

Poulam said: (May 13, 2016)  
Find the angle between the minute hand and the hour hand if the time 12:20? please give the answer.

Sri said: (May 18, 2016)  
Hi, @Mamta

I didn't understand your answer. Please explain it once again.

Praveen said: (May 26, 2016)  
Thank you very much @Sundar.

Shivam said: (Jun 3, 2016)  
@Dedeepya.

We can't go with the process you suggested because;

Let us take the correct time be 'x'.
Now as we already know that 'x' will be lesser than 4 : 15.
Now the mistake in your idea is you are taking x as 4:15 which means in another (4 : 15 - x) the error clock will gain (4 : 15 - x) * 3s, which you are not considering.

Kindly take 'x' instead of 4 : 15 and solve again you will definitely land into a correct answer.

Rajasekar said: (Jun 7, 2016)  
3M = 5s.
60M = 100s.
9H = (9 * 60m) = (9 * 100s) = 900s.
15M = 25s.
900S + 25s = 925s.
925S / 60s = 15.4m.

So, 15.4 is faster.

So reduce the faster value in actual value.

4.15m - 0.15m = 4h.

Vinod Kumar Pattnaik said: (Jun 14, 2016)  
As given in question we know that.

A watch gains 5 seconds in 3 minutes.

Its means covert 3 min into seconds 4.

(3 x 60) = 180 sec (1 min = 60 sec).

Question tells 5 seconds gain.

It means for 180 sec it will become 180 + 5 = 185 seconds.

Right time is 180 seconds wrong time is 185 seconds.

Difference between true time and wrong time is 7 am to 4. 15 pm is 9 hours 15 min.

(9 x 60 = 540 + 15 = 555 min).

For 180 - 185.

? - 555.

(180 x 555) /185 = 540 in sec convert into min I. E 540/60 = 4 min.

Aishwarya said: (Jul 4, 2016)  
How is it 37/4 in the first step?

Aishwarya said: (Jul 4, 2016)  
Can any one explain this answer step by step? Please, I didn't understand this.

Jeyam said: (Jul 14, 2016)  
@Aishwarya.

You don't get confused, first calculate how many minutes are there.

9hrs * 60 minutes +15 = 555 minutes.

Again calculate how many 3 minutes are there i.e. 555 ÷ 3 =183.
Again 180 minutes * 5 second = 915.
Again 914 ÷ 60 = 15 minutes. So 4 : 15 - 15 = 4pm.

Don't bother about the remaining 15 sec because we calculate ahead of the 15 minutes, so it's very factual to deduct.

Shivanand Sattikar said: (Aug 20, 2016)  
@Praveen.

You gave an easy and best explanation, thanks man.

Omi said: (Aug 24, 2016)  
Wrong answer. The correct answer will be A.

7 am to 4:15 pm = 9h 15 minutes.

3 minutes -----> 5 seconds gains.

60 minutes -----> 100 seconds gains.

So, 9h + 15 minutes -----> 9 * 100,

= 900 seconds + (15/3) * 5 = 925 seconds gains.

So, 925 secs = 185/12 minutes.

So, the answer is A.

Khanam said: (Aug 26, 2016)  
Please explain me in clear and easy form I didn't understand this.

Srikanth.S said: (Aug 27, 2016)  
3 Min = 5 sec fast,

1 Hour = 1.66 Min fast (100 sec),

Normally, 9 hr has = 9 * 60 min i.e 540,

For error, 9 hr has = 9 * 61.66 min i.e 554.94,

So, 554.94 - 540 = 14.94 min,

Hence the answer is 4.

Wadbor said: (Sep 2, 2016)  
@Khalid

You got it right in a simple way. For 9hr it gains 15min so 9hr 15min minus gain of 15min will give 9hr correct time.

Prateek said: (Sep 16, 2016)  
Thank you so much @Sundar.

Aneesha said: (Oct 1, 2016)  
How did you get 37\4?

Tejas said: (Oct 16, 2016)  
Total hours with error from 7 am to 4:15 pm = 9 h 15 min = 33300 secs.
Total original hours from 7 am to 4 pm = 9 hrs = 32400 secs.
Therefore, 33300 - 32400 = 900.
900/60 = 15 min.

Vivek said: (Nov 22, 2016)  
No Need to use such a long method.

In 3 mins it's gaining 5 sec.
Io in 1 min the gain take = 5/3.s
And in 60 min it's going to gain = (5/3) * 60= 100 s.
Now the difference between two times is 9 : 15 hrs.
And in 9 hrs it's going to gain 100 * 9 = 900 s.

900 /60 = 15 min.

So at 4 : 15 it's already 15 min ahead so real time will be 4.

Gjm said: (Nov 23, 2016)  
Simple friends time 7 am to 4.15 pm.
1st we take time 7am to 8am that means 60 min but give its gain 5 sec in 3 min so 60/3 = 20 mins.

Then 20 min * 5 sec = 100 sec that means 1.40 min per 1 hour so now we calculate 7am to 4:15pm, 9 hours = 15 min 4:15 - 0:15 = 4 pm.

Yashpal said: (Dec 1, 2016)  
Agree with you @Nitin.

The correct answer is A.

Yashpal said: (Dec 1, 2016)  
You are totally wrong @Gjm.

You can't multiple two different units of time without converting them i.e. 20 min * 5 sec = 100 sec is not possible it could be (20 min/60) sec * 5 sec = whatever.

Sarthak said: (Dec 23, 2016)  
185 seconds to 9hr 15 minute how?

Durgesh said: (Dec 29, 2016)  
A clock is set right at 10 a.m the clock gains 10 minutes in 24 hours .what will be the true time when the clock indicates 3 p.m the following day?

Please solve it.

Rijas Das said: (Jan 1, 2017)  
Why are you calculating it in the hour? why not in minutes?

Both the answers are different. Make it clear.

Ashok Apple said: (Feb 10, 2017)  
Thank you @Natasha.

Sushma said: (Mar 9, 2017)  
Nice explanation, Thank you @Sundar.

Praveen said: (Apr 16, 2017)  
@Sundar.

How it should be 555 min/3 min 5 sec [or] 33300/185"?

It must be divided by 3min right, not 3 min 5 sec.

How you are saying it must be divided by 3min 5 sec?

Vijay Ramanathan said: (May 21, 2017)  
I agree with the Mamta's Explanation. Thanks @Mamta.

Vasundhara said: (May 29, 2017)  
At a railway station, a 24-hour watch loses 3 min in 4 hours. If it is set correctly on Sunday noon when will the watch show correct time?

Please give me the solution.

Jayasree said: (Jun 10, 2017)  
Consider the ratio of the speed of original clock : error clock;.

By the time original clock covers 180 secs, error clock covers 185 secs.
therefore speed ratio is 180(original) : 185 (error).
==> 36:37.
Error clock covers 9 hours 15 mins= 9 1/4 hours = 37/4 hours.
Now solving by ratio proportion,

Speed --- time covered(in hours)
37 --- 37/4 ---------> Error clock
36 --- ? ---------> Original clock

Time covered by original clock is ==> 37/4 * 36/37.
==>9 hours i.e, clock shows at 4.00 pm.

Sanjit said: (Jun 12, 2017)  
Yes, I too think the Right answer is option A.

Kavya said: (Jun 16, 2017)  
Option A is the right answer.

Explanation: for every 3 minutes its gaining 5 seconds.
3 min = 5 sec ------------------(1)
So in 1 hour it will gain.
(60 min * 5 sec) / 3 min = 100 sec-------------(2)
So in 9 hours( 7 a.m. to 4 p.m) it will gain.
(100 sec * 9 hrs) = 900 sec---------------------(3)
In 15 min it will gain (15 min * 5 sec) / 3 min= 25 sec------------(4)
Total in 9 hours 15 min( 7 am to 4:15pm) it will gain = 925sec.
Now convert 925 seconds into minutes.
i.e, 925/60 = 15.416667 (this is not a approximation problem. We cannot neglect the numbers
After decimal point) = 185/12 = 15 5/12.
So now, 4:15 -(minus)15 5/12 = 3:59:35 = 59 7/12 past 3 pm.

Natin Anand said: (Jul 3, 2017)  
Given in question that in every 3 minutes 5 sec = 185 sec. increases, so the wrong time we get 4:15.

Now we have to get the correct time, for this first take the wrong time.
Given it is 4:15 which is started from 7 in morning, so that's mean it is 9 hr 15 minutes.
555 min = 333000 sec.
Now for the correct clock,
It will be 3 minute = 180 seconds.

So, correct time can be written as (180/185)*333000 sec. = 32400 sec.
which is equal to 9 hr so the answer is 4 p.m.

Hassain said: (Jul 4, 2017)  
Anyone can tell 4.15 PM so how can you say 15 min the question is only 4?

Akash Gupta said: (Jul 24, 2017)  
Another view can be:

In 3 minutes the error is 5 seconds, so every hour it gains 100 seconds.

Correct Clock ----------------------------> Wrong Clock
7 hrs ----------------------------> 7 hrs
8 hrs ----------------------------> 8hrs 100 sec
9 hrs ----------------------------> 9 hrs 200 sec
10 hrs ----------------------------> 10 hrs 300 sec
11 hrs ----------------------------> 11 hrs 400 sec
12 hrs ----------------------------> 12 hrs 500 sec
1 hrs ----------------------------> 1 hrs 600 sec
2 hrs ----------------------------> 2 hrs 700 sec
3 hrs ----------------------------> 3 hrs 800 sec
4 hrs ----------------------------> 4 hrs 900 sec ----> 4 hrs 15 minutes

Navya Keerthi said: (Aug 1, 2017)  
From 7am to 4:15pm it takes 9hrs15mins. But for ever 3mins the secs hand moves 5secs extra so so 9hrs15mins =x (3+ (5/60))because 1sec=1/60 so5secs=5/60. X=540mins. 540mins=9hrs so 9hrs from 7am is 4pm.

Akhil said: (Aug 4, 2017)  
7am to 4.15pm.
Total 9hrs 15min.

Total time in min= 9*60+15=555min.
For every three min, 5 seconds will be added to the wrong clock
555min /3min= 185 times

So total second added 185*5=925sec,
now convert 925sec to min=925/60= 15 min 25 sec,
so the time in original clock will be 4pm.
555min-15min, =540min=9hrs.
25 sec is neglected because clocks trigger by 5sec only after completing 3mins.

Vinay Chik Baraik said: (Aug 23, 2017)  
It's given that error clock gains 5 seconds in each 3 minutes of perfect clock.
So, 3min 5sec of error clock = 3min of perfect clock.

Or, [3+(5/60)] min of error clock = 3min of perfect clock. (185s of error clock = 180s perfect clock)
Or, (37/12) min of error clock = 3min of perfect clock
Or 1 min of error clock = 3*12/37 min of perfect clock =36/37.

Now error clock moved from 7am to 4:15pm = 9hr 15min = ( 9*60 + 15 )min = 555min.
So in 555 min of error clock = (36/37)*555 min of perfect clock = 540min of perfect clock.
= (540/60) hr = 9 hr of perfect clock.
So 9hr from 7am is 4pm. Thus the answer is [B] 4 p.m.

Shashi said: (Oct 11, 2017)  
There is no coincidence between 11 &12 hence only 11 coincidence per 12 hours.
Totally 22 coincidence per day,
Hence answer is 32.

Binoy Saha said: (Dec 8, 2017)  
9 hrs 15 min. = 37/4 hrs? How please explain.

Binoy Saha said: (Dec 8, 2017)  
3 mins clock gains 5 sec mean? Please explain it.

Kamlesh said: (Feb 6, 2018)  
@Sundar.

Your explanation is in a very simple way. Thanks.

Jose said: (Apr 2, 2018)  
How to solve 555/60 = 37/4?

Mayuri Madavi said: (Jun 1, 2018)  
Find the ratio 15 sec, 1 min. Please explain this question.

Yamini Dhanasekar said: (Jul 5, 2018)  
We can also solve it by;

Time from 7 a.m to 4.15 pm is 9hrs and 15 mins.
9hrs is 540 min and 15 min=555 min.
Then, how many 3 min in 555 min=555/3=185.
So, 5 sec is added 185 times.

185*5=925 sec.925 sec can be converted into 15 min(925/60=15.4 @approx 15min).
Watch shows the time at 4:15 pm.
15 min added.so the correct time is 4 PM.

Abhishek said: (Aug 6, 2018)  
Total 555min,
5 sec for 3 mins,
so total 925 sec increase,
i.e. 15mins 25 sec.
time is 4:15.

So corrected time 3 hrs 59 mins 45 secs.

Ankit said: (Sep 24, 2018)  
3: 5 Sec (wrong Clock) = 3 min ( Right Clock).
Now convert 3:5 Sec into min = 3+(5/60)== 37/12 min.
37/12 min will be === to 3 min of wrong clock.
1min of wrong clock will be = 3*12/37 = 36/37min of right clock.
9:15 min will be of wrong clock ==36/37*555 ( Total time trvel = 9:15min =555min) of right clock.
= 19980/37.
= 540min.
= 9 hrs = 4 PM.
Thanks.

Adharsh said: (Nov 3, 2018)  
Hi, I am not getting this. Please, anyone explain me to get this.

Sunny Singh said: (Mar 23, 2019)  
I think Option A will be correct.

Hina said: (May 1, 2019)  
How 37/4 converts into 4?

Anyone explain please?

K.Roshanraj said: (Jul 2, 2019)  
For every 3 mins 5 sec is gained so totally from 7.am to 4.15 pm there is an excess of 15 mins.
So subtract that 15 with the 4.15 pm,
And the answer will be at 4 pm.

Snehashish Das said: (Jul 31, 2019)  
Here seeing so many controversies, I would suggest that if we take the exact accurate value of 925/60.

Then that is equal to 925/60=15.4166666667(if we take 15.41).

Simplification 185/12 that mean 15 and 5/12 part minute.

9 hrs= 9x60=540 min --- 185/12min = 524.58 min.
that means 3 hrs.59 min.35 sec.= 7/12 past 3.

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