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 3 of 16.

Pooja said:   1 decade ago
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.
(1)

Yamini Dhanasekar said:   7 years ago
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.
(1)

Jaslin said:   2 decades ago
How we got 37/720 ?

Khalid said:   2 decades ago
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:   1 decade ago
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:   1 decade ago
How did you get 185 ?

Swetha said:   1 decade ago
Can anybody tell me how did we get '1/20 hrs of the correct clock' ?

Ajay said:   1 decade ago
@Swetha

3 min converted into hours by dividing with 60.

3/60 hrs = 1/20 hrs.

Nitesh Nandwana said:   1 decade ago
@Saranya

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

185, it is simple calculation babes.

Vinu said:   1 decade ago
Any body understand last step? can you explain?


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