Question 156

On January 1st at 12:00 AM, the clock, which is 5% faster than a usual clock, was set to the correct time. When will the clock show the correct time again?

Solution

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Since the clock goes 5% faster, it has to gain 12 hrs to show the correct time. 

When one hour of normal time is completed, incorrect clock completes 63 mins.

So, the clock gains 3 mins in one hour. The time taken for the clock to gain 12*60 = 720 mins will be 720/3 = 240 hrs.

This is 10 days.

This means the clock shows correct time on 11th Jan 12:00 AM.

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