SOLUTION: An accurate clock shows exactly 3 pm. In how many minutes will the minute hand catch up with the hour hand?

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Question 357004: An accurate clock shows exactly 3 pm. In how many minutes will the minute hand
catch up with the hour hand?

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = # minute spaces traveled by the minute hand. Then x/12 = # minute spaces traveled by the hour hand. At the initial time of 3pm, the minute hand and the hour hand are separated by 15 minute spaces. This means that
x+=+15+%2B+x%2F12, or 11x%2F12+=+15, or x+=+16.36, to 2 decimal places. Therefore the clock hands will be together at 3:16, 22 seconds, pm.