Question 68

How much does a watch lose per day if hand coincides every 64 minutes?


In 24 hours the hands of hour and minute coincide 22 times. 24 hours equals 24*60=1440 minutes.

1440/22 = 65 and 5/11 minutes.=> every 65 and 5/11 min, they coincide.

Now the clock in question coincide every 64 minutes; therefore 24 hours in your clock means 64*22 minutes or 1408 minutes.

So your clock should lose 1440-1408=32 minutes.

Otherwise, the clock gains 32 minutes as it is faster than usual.

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