SOLUTION: Two runners one averaging 5 miles per hour and the other one averaging 4 miles per hour, start at the same place and run along the same trail. The slower runner arrives at the end

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Question 851510: Two runners one averaging 5 miles per hour and the other one averaging 4 miles per hour, start at the same place and run along the same trail. The slower runner arrives at the end of the trail a half hour after the faster runner. How far did each person run?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
RT=D for rate time distance.

These runners are on the same trail, going the same length, and we are assuming starting at the same point in time.

_________________speed__________time___________distance
one runner________5_____________t______________5t
other runner______4____________t+1/2_________4(t+1/2)

The distances of each runner are equal. Solve that equality for time t, and then you can find the distance.