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)   (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.
----
Walker DATA:
distance = 3.6 miles ; rate = x mph ; time = d/r = 3.6/x hrs.
--------------------
Jogger DATA:
distance = 6 miles ; rate = x+2 mph ; time = d/r = 6/(x+2) hrs.
--------------------
Equation:
time = time
3.6/x = 6/(x+2)
---
3.6x + 7.2 = 6x
2.4x = 7.2
x = 3 mph (walker speed)
x+2 = 5 mph (jogger speed)
==============================
Cheers,
Stan H.
===========

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
write 2 equations:
Let =speed of jogger
walker:
(1)
jogger:
(2)
This is 2 equations and 2 unknowns,
so it's solvable
(2)
(2)
and
(1)
(1)
(1)
(1)
(1)
(1)
and

The joggers speed is 5 mi/hr
The walkers speed is 3 mi/hr

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