I'm posting one puzzle, riddle, math, or statistical problem a day. Try to answer each one and post your answers in the comments section. I'll post the answer the next day. Even if you have the same answer as someone else, feel free to put up your answer, too!

Wednesday, March 31, 2010

Clocks in a Line

How many times a day do the hour and minute hands on a clock line up exactly with each other?

I think the answer is 22. For the hours of 12AM/PM, the minute hand sweeps over the hour hand instantaneously at 12:00. For the hours of 11AM/PM, the minute hand "sweeps" over the hour hand at the very end at 12:00AM/PM. These states seem to be the same and therefore shouldn't be counted twice.

1440 times, Each time the minuit hand goes around it eventually matches up with the hour hand so the awnser is the same as the number of minuits in a day. 24 hours*60minuits/hour = 1440

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24 times? At each hour the minute hand sweeps over the hour hand so they have to line up exactly at each hour.

ReplyDeleteI guess the answer should be 24.

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I think the answer is 22. For the hours of 12AM/PM, the minute hand sweeps over the hour hand instantaneously at 12:00. For the hours of 11AM/PM, the minute hand "sweeps" over the hour hand at the very end at 12:00AM/PM. These states seem to be the same and therefore shouldn't be counted twice.

ReplyDelete1440 times, Each time the minuit hand goes around it eventually matches up with the hour hand so the awnser is the same as the number of minuits in a day. 24 hours*60minuits/hour = 1440

ReplyDelete