SOLUTION: Frank rides his bike 12 miles an hour faster than he walks. He can bike from home to work in the same amount of time it takes him to walk from home to the park. If the distance fro

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Question 278671: Frank rides his bike 12 miles an hour faster than he walks. He can bike from home to work in the same amount of time it takes him to walk from home to the park. If the distance from Frank's home to work is 9 miles, and the distance from his home to the park is 3 miles, what is Franks walking speed?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Frank rides his bike 12 miles an hour faster than he walks.
He can bike from home to work in the same amount of time it takes him to walk from home to the park.
If the distance from Frank's home to work is 9 miles, and the distance from his home to the park is 3 miles, what is Franks walking speed?
:
Let w = walking speed
then
(w+12) = biking speed
:
Write a time equation; time = dist/speed
:
time to work = time to park
9%2F%28%28w%2B12%29%29 = 3%2Fw
cross multiply
9w = 3(w+12)
:
9w = 3w + 36
:
9w - 3w = 36
"
6w = 36
w = 36%2F6
w = 6 mph is his walking speed
:
:
Check solution by finding the times, should be equal
9/18 = .5 hr
3/6 = .5 hrs also