SOLUTION: In a large marathon, runners start the race in stages. Jorge started in group E and ran at a rate of 4.5 miles per hour. During the race he was passed by Luis who ran at a rate of

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Question 1120831: In a large marathon, runners start the race in stages. Jorge started in group E and ran at a rate of 4.5 miles per hour. During the race he was passed by Luis who ran at a rate of 5 miles per hour and started in group H, 15 minutes after Jorge started. How far did Jorge run before he was passed by Luis?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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In a large marathon, runners start the race in stages.
Jorge started in group E and ran at a rate of 4.5 miles per hour.
During the race he was passed by Luis who ran at a rate of 5 miles per hour and started in group H, 15 minutes after Jorge started.
How far did Jorge run before he was passed by Luis?
;
let t = running time of J
Change 15 min to 1%2F4 hr, then
(t - 1%2F4) = running of L
when L catches up with J, they will have traveled the same distance
:
A distance equation; dist = speed * time
5(t-1%2F4) = 4.5t
5t - 5%2F4 = 4.5t
5t - 4.5t = 5%2F4
or
.5t = 1.25
t = 1.25%2F.5
t = 2.5 hrs
:
Find the distance J traveled
2.5(4.5) = 11.25 mi
:
Check this, find the distance L traveled, his time was 2.25 hrs
2.25(5) = 11.25 mi