The minute hand of a clock overtakes the hour hand at intervals at 66 minutes of the correct time. How much in a day does the clock gain or lose?
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Answer:
65511
Explanation:
The "gains or loses" question is fairly straightforward: a normal clock takes 60⋅1211=65511 minutes for the minute hand to catch up to the hour hand, while our faulty clock takes 66 minutes which is 611 minutes longer.
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