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

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) (Show Source): You can put this solution on YOUR website!
When the slower runner goes around the track once,
the faster runner will be

mi ahead
--------------------------
When the slower runner goes completely around
amnother time, the faster runner will be
of a mile ahead
--------------------------
When the slower runner goes around a 3rd time, the
faster runner will be mile ahead,
which puts them both at the starting line.
-----------------------------
The time for this is the time for 3 laps by the slower runner
minutes

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