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The hands of a clock (Posted on 2002-05-23) Difficulty: 2 of 5
Anne and Mike have an argument about the hands of the clock:

Anne: "The minute hand takes one hour to make a complete circle. Therefore, it will pass the hour hand once every hour!"

Mike: "But by the time the minute hand has made a full circle, the hour hand will have moved 1/12th of the circle ahead. And by the time the minute hand gets to that spot, the hour hand will have moved forward yet again. This will continue indefinitely, so it is obvious that contrary to what it may seem like, the minute hand will never pass the hour hand."

In reality, how often does the minute hand pass the hour hand?

See The Solution Submitted by levik    
Rating: 3.3636 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution quite easy really.... | Comment 6 of 15 |
in one hour, the minute hand will have moved in a complete circle, and the hour hand the distance between 2 numbers, which is equal to 5 minutes. so, the minute hand passes the hour hand once every 1 hour and 5 minutes.
  Posted by Matthew Bobbins on 2002-12-15 10:18:18
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