Question 888813: Two persons are to run a race, but one can run 11 meters per second, whereas the other can run 5 meters per second. If the slower runner has a 87-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Two persons are to run a race, but one can run 11 meters per second, whereas the other can run 5 meters per second. If the slower runner has a 87-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time?
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let x=distance slower runner traveled
x+87=distance faster runner traveled
travel time=distance/speed (same for both runners)
..
x/5=(x+87)/11
11x=5(x+87)
11x=5x+535
6x=435
x=72.5
travel time= 72.5/5=(72.5+87)/11=14.5
how long will it be before the faster runner catches the slower runner? 14.5 sec
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