SOLUTION: 54. Science and medicine. A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?

Algebra ->  Linear-equations -> SOLUTION: 54. Science and medicine. A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?       Log On


   

Question 78714: 54. Science and medicine. A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
:
Let s = speed into the country
:
Since she rode for 5 hrs her distance into the country would be:
5s
The return distance will be the same but her speed will was 5 mi/h faster
:
Dist out = Dist back
5s = 4(s+5)
5s = 4s + 20
5s - 5s = 20
s = 20 mph; into the country; Then 25 mph back from the country
:
:
Check to see if the distances are equal:
5(20) = 100
4(25) = 100; confirms our solution