SOLUTION: Charles and paul enter the Center Point-Comfort Hill Country Run. Charles runs at 8 mi/h and paul at 6 mi/h. If they start together, how long before charles is 1/4 ahead of paul?

Question 331157: Charles and paul enter the Center Point-Comfort Hill Country Run. Charles runs at 8 mi/h and paul at 6 mi/h. If they start together, how long before charles is 1/4 ahead of paul?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Charles runs at 8 mi/h and paul at 6 mi/h.
If they start together, how long before charles is 1/4 ahead of paul?
:
Let t = time for C to 1/4 mi ahead of P
:
Write a distance equation; d = speed * time
:
C's dist - P's dist = .25 mi
8t - 6t = .25
2t = .25
t =
t = .125 hr, or .125 * 60 = 7.5 min
:
:
Check solution by finding the distance traveled by each man
.125*8 = 1 mi
.125*6 = .75 mi
------------------
differs by .25 mi
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