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:
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Time from 7 am to 4.15 pm = 9 hours 15 minutes = 37/4 hrs
3 minute 5 seconds of the given clock = 3 minutes of a normal clock
=> 37/12 minutes of the given clock = 3 minutes of a normal clock
=> 37/720 hours of the given clock = 1/20 hours of a normal clock
=> 37/4 hours of the given clock = 1/20×720/37×37/4 hours
= 9 hours
Hence, correct time = 9 hours after 7 am = 4 pm
3 minute 5 seconds of the given clock = 3 minutes of a normal clock
=> 37/12 minutes of the given clock = 3 minutes of a normal clock
=> 37/720 hours of the given clock = 1/20 hours of a normal clock
=> 37/4 hours of the given clock = 1/20×720/37×37/4 hours
= 9 hours
Hence, correct time = 9 hours after 7 am = 4 pm
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