HardRiddle #1383
At exactly 3:00, a clock's second hand and minute hand both point at 12. Counting 4:00 itself, how many times does the second hand catch up to the minute hand by 4:00?
Hint: The minute hand isn't standing still.
Answer
59 times
In one hour the second hand makes 60 laps and the minute hand makes 1, so the second hand gains 59 laps, catching the minute hand 59 times, the last at exactly 4:00.
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