SOLUTION: Jana can jog 5 miles downhill in the same time that it takes her to jog 3 miles uphill. Find her jogging rate for each way if she jogs downhill 4 mi/h faster than she jogs uphill.

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Question 377476: Jana can jog 5 miles downhill in the same time that it takes her to jog 3 miles uphill. Find her jogging rate for each way if she jogs downhill 4 mi/h faster than she jogs uphill.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
uphill speed = x
downhill speed = x+4
..
time uphill = time downhill
..
%283%2Fx%29=%285%29%2F%28x%2B4%29
cross multiply
3(x+4)=5x
3x+12=5x
5x-3x=12
2x=12
/2
x= 6 mph. up hill speed
downhill speed = 10 mph
...
m.ananth@hotmail.ca