Aptitude - Clock - Discussion

Discussion Forum : 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:
59 7 min. past 3
12
4 p.m.
58 7 min. past 3
11
2 3 min. past 4
11
Answer: Option
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.

Discussion:
154 comments Page 4 of 16.

Puneet said:   1 decade ago
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:   1 decade ago
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:   1 decade ago
@Mamta.

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

Rinkul Kamboj said:   1 decade ago
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:   1 decade ago
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:   1 decade ago
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:   1 decade ago
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:   1 decade ago
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:   1 decade ago
Still I'm confused how the 37/720 hrs is equal to 1/20 hrs.

Soujanya said:   1 decade ago
Why they are multiplying the values at last to get 9 hrs? I am confused here. Rest all is clear. Please help me.


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