# SOLUTION: Two persons are to a 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 i

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 Click here to see ALL problems on Travel Word Problems Question 454341: Two persons are to a 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 up to the slower runner, if they begin at the same time.Answer by ankor@dixie-net.com(15667)   (Show Source): You can put this solution on YOUR website!Two persons are to a 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 up to the slower runner, if they begin at the same time. : Let t = time (in sec) for the faster runner to catch the slower : When this occurs they will have ran the same distance, Write distance equation, Dist = speed*time : 10t = 6t + 70 10t - 6t = 70 4t = 70 t = t = 17.5 seconds : : Check this using relative speed their relative speed (to each other) is 4 m/sec How long will it take to cover 70 m at 4 m/sec