Asked by Quencie

Two persons are to run a race, but one can run 8 meters per second, whereas the other can run 2 meters per second. If the slower runner has a 99-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time?
Answered by Reiny
They ran for the same length of time
let the time be t seconds

then distance covered by faster runner = 8t
distance covered by slower runner = 2t

so 8t - 2t = 99
6t = 99
t = 99/6 or 16.5 seconds
Answered by Viola
Two persons are to run a race, but one can run 8 meters per second, whereas the other can run 2 meters per second. If the slower runner has a 81-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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