Question

How many time second hand is faster than hour hand?

Answer 1

minute hand will go around 12 times. The minute hand will pass the hour hand 11 times in the first 12 hours, and 11 times in the second 12 hours. This means that they will meet 22 times. In a single hour, the second hand will go around the clock 60 times. Hope it helps

Answer 2

This implies that the first overlap happens after T = 12/11 hours (~1:05 am). Similarly, the second time they overlap, the minute hand would have completed two more laps than the hour hand. So for N overlaps, we have T = T/12 + N. Thus, the hands of a clock overlap 22 times a day.

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