SOLUTION: Jodie bicycles 7km/h faster than Carlos. In the same time if takes Carlos to bicycle 51 km and Jodie can bicycle 72km. How fast does each bicycle travel?

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Question 607364: Jodie bicycles 7km/h faster than Carlos. In the same time if takes Carlos to bicycle 51 km and Jodie can bicycle 72km. How fast does each bicycle travel?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Jodie bicycles 7km/h faster than Carlos.
In the same time if takes Carlos to bicycle 51 km and Jodie can bicycle 72km. How fast does each bicycle travel?
:
Let c = C's riding speed
then
(c+7) = J's riding speed
:
Distance varies directly with speed, so we can write it
c%2F%28%28c%2B7%29%29 = 51%2F72
cross multiply
72c = 51(c+7)
72c = 51c + 357
72c - 51c = 357
21c = 357
c = 357%2F21
c = 17 km/hr is C's speed
:
You can find J's speed
:
Check your solutions by finding the time for each, they should be equal