SOLUTION: If jim can run 100m in 13.4 sec. and bill can run 100m in 14.1 sec. How much head start would bill need to finish at the same time? I know ther answer, but need to write it out in

Question 350887: If jim can run 100m in 13.4 sec. and bill can run 100m in 14.1 sec. How much head start would bill need to finish at the same time? I know ther answer, but need to write it out in an equation.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If jim can run 100m in 13.4 sec. and bill can run 100m in 14.1 sec.
How much head start would bill need to finish at the same time?
:
Let x = no. of meters head start required by Bill
:
Find Bill's rate in meter/sec
= 7.0922 m/sec
:
Write a time equation; Time = dist/rate
:
= 13.4
100 - x = 7.0922 * 13.4
100 - x = 95.0355
-x = 95.0355 - 100
-x = -4.9645
x ~ 5.0 meter head start
:
:
Prove that by finding the time for each runner, should be equal.
Bill's time to run 95 meters: 95/7.0922 = 13.395 ~ 13.4, same as Jim's time to run 100 m

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