Question

The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. How much

Answer 1

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The correct clock's minute hand gains over its hour hand in actual 65 minutes = 65*55/60 min.

The incorrect clock's minute hand gains over its hour hand in actual 65 minutes = 60 minutes.

So the net gain of the incorrect clock over the correct clock in actual 65 minutes = 60-[65*55/60] = 5/12min.

so, in 24 hours it will gain = 5/11 * (24*60/65) = 10.97min (Ans)

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Answer 2

Answer:

The correct clock's minute hand gains over its hour hand in actual 65 minutes = 65*55/60 min.

The incorrect clock's minute hand gains over its hour hand in actual 65 minutes = 60 minutes.

So the net gain of the incorrect clock over the correct clock in actual 65 minutes = 60-[65*55/60] = 5/12min.

so, in 24 hours it will gain = 5/11 * (24*60/65) = 10.97min (Ans)