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 1 of 16.

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

Khalid said:   1 decade 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?

Shyam said:   1 decade ago
why 720/37?

Nitin said:   1 decade ago
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]


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