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

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) (Show Source): You can put this solution on YOUR website!
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
=
cross multiply
9w = 3(w+12)
:
9w = 3w + 36
:
9w - 3w = 36
"
6w = 36
w =
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
RELATED QUESTIONS
Frank rides his bike 4 mph faster than he walks. He can bike from home to work in thesame (answered by ankor@dixie-net.com)

Justin can jog to work in 3/4 of an hour. When he rides his bike, it takes him 1/3 of an... (answered by ankor@dixie-net.com)

george can ride his bike to work in 3/4 hour. if he takes his car to work, the trip takes (answered by lwsshak3,josmiceli)

Dennis can reach his work place in 3/4 of an hour by riding a bicycle.When he takes the... (answered by stanbon,richwmiller)

A man can ride his bike 18 miles in the same time it takes him to run 6 miles. He can... (answered by TimothyLamb,MathTherapy)

Boris can jog to work in 2/3 of an hour. When he rides his bike, it takes him 1/4 of an... (answered by robertb)

Austin can jog to work in of an hour. When he rides his bike, it takes him of an hour.... (answered by richard1234)

Jeff can bike to work in � of an hour. When he takes the bus, the trip takes 15 minutes.... (answered by stanbon)

Jim rides his bike to school every morning at an average speed of 15 miles per hour. He... (answered by mananth)