SOLUTION: jennifer walks 7 miles in the same time she can jog 12 miles. if her jogging speed is 8 mph faster than her walking speed, how fast does she walk?

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Question 680852: jennifer walks 7 miles in the same time she can jog 12 miles. if her jogging speed is 8 mph faster than her walking speed, how fast does she walk?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Jennifer walks 7 miles in the same time she can jog 12 miles.
if her jogging speed is 8 mph faster than her walking speed, how fast does she walk?
:
let w = the walking speed
then
(w+8) = the jogging speed
:
Write a time equation, time = dist/speed
:
jog time = walk time
12%2F%28%28w%2B8%29%29 = 7%2Fw
Cross multiply
12w = 7(w+8)
12w = 7w + 56
12w - 7w = 56
5w = 56
w = 11.2 mph is the walking speed
:
:
Sounds far-fetched, check by finding the time of each
7/11.2 = .625 hrs
12/19.2 = .625 hrs, seems to be right