SOLUTION: Jordan can run 200 meters in the time it takes Bill to run 190 m. If they run at the same pace, and Jordan starts 10 m behind the start line, Who will win? How far back does Jordan

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Question 345536: Jordan can run 200 meters in the time it takes Bill to run 190 m. If they run at the same pace, and Jordan starts 10 m behind the start line, Who will win? How far back does Jordan need to start so Bill will win?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Jordan can run 200 meters in the time it takes Bill to run 190 m.
If they run at the same pace, and Jordan starts 10 m behind the start line,
Who will win?
Just for convenience assume;
it takes 20 seconds for J to run 200 m
it takes 20 seconds for B to run 190 m
then; speed = dist/time
200%2F20 = 10 m/sec is J's speed
and
190%2F20 = 9.5 m/sec is B's speed
:
J will cover 210 m in 210%2F10 = 21 sec
B will cover 200 m in 200%2F9.5 = 21.05 sec, J wins by an eyelash
:
How far back does Jordan need to start so Bill will win?
Let x = how far back for B to win
%28%28200%2Bx%29%29%2F10 = 21.10 sec (B wins by .05 sec)
200 + x = 211; multiplied both sides by 10
x = 211 - 200
x = 11 m behind and B will win by an eyelash