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Question

A watch gains 5 seconds in 3 minutes was set right at 7AM In the afternoon of the same day, when the watch shows a quarter past 4 'o'clock, the true time is ______________.


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Solution

Calculate the true time of the clock.

Time in hours from 7:00AM to 4:15PM=9hours15minutes

Convert 9 hours 15 minutes into hours.

9hours15minutes=9+1560hours1hours=60minutes=374hours

Now convert 3 minutes 5 seconds into hours.

3minutes5seconds=360+53600=180+53600=1853600=37720hours

Since the given clock gains 5 seconds in 3minutes.

3 minutes 5 seconds of the given clock=3 minutes of the correct clock

37720hrsofgivenclock=120hrsofthecorrectclock374hrsofgivenclock=120×72037×374hrsofthecorrectclock=9hrsofthecorrectclock

So the correct time is, add 9 hours in 7AM i.e 4PM

Hence, the true time is 4PM.


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