SOLUTION: 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

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Question 709489:
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?

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
D=8T
D-99=2T
OR D=2T+99
8T=2T+99
8T-2T+99
6T=99
T=99/6
T=16.5 SECONDS THEY WILL MEET.
PROOF:
D=8*16.5=132 m.
D-99=2*16.5
D=99+33=132 m.