SOLUTION: An accurate clock shows exactly 3 pm. In how many minutes will the minute hand
catch up with the hour hand?
Algebra.Com
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) (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
, or , or , to 2 decimal places. Therefore the clock hands will be together at 3:16, 22 seconds, pm.
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