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Problem 5 (Clock Problem)

What strange clocks we have where numbers return to zero every time they pass 12. Why don't we use a base 10 system like our usual decimal system ? Well, you can blame it on the Babylonians. If you want to find out why the Babylonians used a base 12 system for their clocks (and base 60 for other things), go to our math link page and look through some excellent history of mathematics sites. But that's not our problem here. Our problem to you is very simple. At what time between 3 o'clock and 4 o'clock do the two hands of the clock point in exactly the same direction ?

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Henrietta's Ragtime Band

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Last modified on Tuesday, January 12, 1999