When Hands of a Clock MeetDate: 8/29/96 at 17:41:27 From: Anonymous Subject: When Hands of a Clock Meet To the nearest second, what is the first time after 12:00 that the hour hand and the minute hand of a clock are together? Thanks! Date: 8/30/96 at 13:58:47 From: Doctor Tom Subject: Re: When Hands of a Clock Meet I won't give the answer, but here's a hint: Obviously, they'll meet a bit after 1:00. So if the answer is x minutes, the hour hand will have to move x minute marks and the minute hand will have to move x+60 minute marks, right? The hour hand moves at 5 marks per hour, or 1/12 mark per minute, and the minute hand moves at 60 marks per hour, or 1 mark per minute. Just write down the equations for the distances that the hour hand and minute hand move and set them equal. When you solve, you'll get x. -Doctor Tom, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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