I have two clocks. One gains two extra minutes every day while the other loses three minutes everyday. If I start the clocks in exactly the same time, how many days will it be until the clocks tell the same time again?

Question

Steve Harrell

Mathematics

12 September, 10:58

I have two clocks. One gains two extra minutes every day while the other loses three minutes everyday. If I start the clocks in exactly the same time, how many days will it be until the clocks tell the same time again?

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Jesse Bautista · Answer 1

If one gains two minutes and the other loses 5 minutes, then they change a total of five minutes per day. If the clocks are 12-hour clocks, it will take 12*60/5=144 days for the two clocks to be the same again. If they are 24-hour clocks, it will take 24*60/5=288 days for the clocks to show the same time.