SOLUTION: A walker travels 3.6 miles in the same time that a jogger travels 6 miles. If the walkers speed is 2 miles per hour less then the joggers, find the speed of the walker and the spe

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Question 415536: A walker travels 3.6 miles in the same time that a jogger travels 6 miles. If the walkers speed is 2 miles per hour less then the joggers, find the speed of the walker and the speed of the jogger.
I know that its r=t/d and that walker= 3.6, jogger 6 ? -2miles
Thank you
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A walker travels 3.6 miles in the same time that a jogger travels 6 miles. If the walkers speed is 2 miles per hour less then the joggers, find the speed of the walker and the speed of the jogger.
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Walker DATA:
distance = 3.6 miles ; rate = x mph ; time = d/r = 3.6/x hrs.
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Jogger DATA:
distance = 6 miles ; rate = x+2 mph ; time = d/r = 6/(x+2) hrs.
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Equation:
time = time
3.6/x = 6/(x+2)
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3.6x + 7.2 = 6x
2.4x = 7.2
x = 3 mph (walker speed)
x+2 = 5 mph (jogger speed)
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
write 2 equations:
Let s =speed of jogger
walker:
(1) 3.6+=+%28s+-+2%29%2At
jogger:
(2) 6+=+s%2At
This is 2 equations and 2 unknowns,
so it's solvable
(2) 6+=+s%2At
(2) t+=+6%2Fs
and
(1) 3.6+=+%28s+-+2%29%2A%286%2Fs%29
(1) 3.6+=+6+-+12%2Fs
(1) 12%2Fs+=+6+-+3.6
(1) 12%2Fs+=+2.4
(1) s+=+12%2F2.4
(1) s+=+5
and
+s-2+=+3
The joggers speed is 5 mi/hr
The walkers speed is 3 mi/hr