SOLUTION: Mitchell and Echo are running for a marathon. Mitchell runs at 7mph and Echo runs at 5 mph. The run has a staggered start and Echo has a ten minute headstart from Mitchell. If Echo

Question 434276: Mitchell and Echo are running for a marathon. Mitchell runs at 7mph and Echo runs at 5 mph. The run has a staggered start and Echo has a ten minute headstart from Mitchell. If Echo starts the race at 5:30 am, what time is it when Mitchell catches up to her?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Mitchell and Echo are running for a marathon. Mitchell runs at 7mph and Echo runs at 5 mph.
The run has a staggered start and Echo has a ten minute head-start from Mitchell.
If Echo starts the race at 5:30 am, what time is it when Mitchell catches up to her?
:
Since we are using mph, change 10 min to hr
:
Let t = running time of E, when caught by M
then
(t-) = running time of M, (10 min less)
:
When M catches E, they will have traveled the same distance.
Write a distance equation; dist = speed * time
;
M's dist = E's dist
7(t-) = 5t
7t - = 5t
7t - 5t =
2t =
t = *
t = hr is E's running time
that is
* 60 = 35 min
35 min from 5:30 = 6:05 am, M catches E
:
:
Check this by finding the distance of each, they should be =
5 * ~ 2.9 mi
7 * ~ 2.9 mi also
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