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Oct. 24, 2007
Three Clocks
A home has three clocks. On Jan. 1 at midnight, all three show the correct time. But only the first clock keeps perfect time. The second clock loses a minute every day, and the third one gains a minute every day. If the clocks were to continue in this way, how long would it be before all of them show the correct time again at the same time?
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You need consider only one of the two clocks that don't keep correct time.
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720 days. During this time, the second clock will lose 720 minutes, or exactly 12 hours, and the third clock will have gained exactly the same time. Then all three clocks will show the true time, as they did on Jan. 1.
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