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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:

Correct Answer: 4 p.m.

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.


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