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

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) (Show Source): You can put this solution on YOUR website!
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 hr, then
(t - ) = running of L
when L catches up with J, they will have traveled the same distance
:
A distance equation; dist = speed * time
5(t-) = 4.5t
5t - = 4.5t
5t - 4.5t =
or
.5t = 1.25
t =
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
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