SOLUTION: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 70-meter head start, how long will it

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Question 471326: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 70-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time?
Found 2 solutions by jorel1380, Alan3354:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
10n=6n+70
4n=70
n=17.5
It will be 17.5 seconds before the faster runner catches up..

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 70-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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The faster runner gains on the slower at 4 m/sec (10-6)
70/4 = 17.5 seconds