SOLUTION: Rosie ran to the park at 7 miles per hour and walked back home at 3 miles per hour. How far was it to the park if the round trip took 20 hours?
I always get stuck on what to do wi
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: Rosie ran to the park at 7 miles per hour and walked back home at 3 miles per hour. How far was it to the park if the round trip took 20 hours?
I always get stuck on what to do wi
Log On
Question 749184: Rosie ran to the park at 7 miles per hour and walked back home at 3 miles per hour. How far was it to the park if the round trip took 20 hours?
I always get stuck on what to do with time for these problems. R=Rate, T=Time, D=Distance.
My teacher has us set our problem with a chart/box:
|Ran|Walked
R) 7 | 3
-------------------
T)
-------------------
D) Found 2 solutions by cbiffle, solver91311:Answer by cbiffle(1) (Show Source):
20 hours? Really? She couldn't find a closer park?
We know that distance equals rate times time, so one way to describe the distance to the park is 7 miles per hour times hours, presuming we allow to represent the number of hours that she ran. With that presumption, and the fact that the entire trip took 20 hours, we can say that she must have walked for hours. Hence, another way to describe the distance (from the park back home this time) is . Since it is a pretty safe bet that nobody picked up her house and moved it while she was gone, the distance from home to the park has to be equal to the distance from the park to home. Therefore we can write:
and
So
Solve for and then plug the value of back into to find
Must be some spectacular park if she is going to run a marathon and a half just to get there.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
(
