Question

If the minute needle of a clock crosses the hourly needle at a interval of 66 minutes, how slow or fast will the clock be throughout the day?

Answer 1

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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 66 minutes;

therefore 24 hours in your clock means 66*22 minutes or 1452 minutes.

So,

clock should gain 1452-1440 = 12 minutes ... (Ans)

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