SOLUTION: Jodie bikes 8 km/h faster than robert in the same time it takes robert to bike 30km, Jodie can bike 54km. How fast does each bicyclist travel? I have done plenty of problems li

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Question 482434: Jodie bikes 8 km/h faster than robert in the same time it takes robert to bike 30km, Jodie can bike 54km. How fast does each bicyclist travel?
I have done plenty of problems like this , however, now I just cant think right now. Can anyone help me?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Jodie bikes 8 km/h faster than robert in the same time it takes robert to bike 30km, Jodie can bike 54km.
How fast does each bicyclist travel?
:
Let s = R's speed
then
(s+8) = J's speed
:
Write a time equation; time = dist/speed
:
J's time = R's time
54%2F%28%28s%2B8%29%29 = 30%2Fs
Cross multiply
54s = 30(s+8)
54s = 30s + 240
54s - 30s = 240
24s = 240
s = 240%2F24
s = 10 mph is R's speed
then
10 + 8 = 18 mph is J's speed
:
:
Confirm our solutions by finding the time of each, they should be equal
54/18 = 3 hrs
30/10 = 3 hrs