SOLUTION: Two runners begin running laps around a one mile track at the same time. The first runner completes a mile every 6 minutes and the second runner completes a mile every 8 minutes. A

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Question 1054568: Two runners begin running laps around a one mile track at the same time. The first runner completes a mile every 6 minutes and the second runner completes a mile every 8 minutes. After how long will the first runner lap the second runner?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
When the slower runner goes around the track once,
the faster runner will be
+%28+1%2F6+%29%28+8+-+6+%29+=+2%2F6+
+2%2F6+=+1%2F3+ mi ahead
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When the slower runner goes completely around
amnother time, the faster runner will be +1%2F3+%2B+1%2F3+=+2%2F3+
of a mile ahead
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When the slower runner goes around a 3rd time, the
faster runner will be +3%2A%281%2F3%29+=+1+ mile ahead,
which puts them both at the starting line.
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The time for this is the time for 3 laps by the slower runner
+3%2A8+=+24+ minutes