SOLUTION: Kathy bicycles 8 ​km/h faster than Javier. In the same time it takes Javier to bicycle 33 km comma Kathy can bicycle 57 km. How fast does each bicyclist​ travel?

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Question 1158835: Kathy bicycles 8 ​km/h faster than Javier. In the same time it takes Javier to bicycle 33 km comma Kathy can bicycle 57 km. How fast does each bicyclist​ travel?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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Kathy bicycles 8 ​km/h faster than Javier. In the same time it takes Javier to bicycle 33 km, comma Kathy can bicycle 57 km. How fast does each bicyclist​ travel?
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Javier's speed, x
Kathy's speed, x+8

The times for these two distances are equal:
33%2Fx=57%2F%28x%2B8%29
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11%2Fx=19%2F%28x%2B3%29, after multiply both sides by 1%2F3.
11%28x%2B8%29=19x
11x%2B88=19x
8x=88
highlight%28x=11%29----------Javier's speed
highlight%2819%29---------Kathy's speed

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The times were the same; the difference in the speeds was 8 km/h and the difference in distances was 57-33=24 km. That means the time was 24/8 = 3 hours.

Then their speeds were...
Kathy: 57/3 = 19 km/h
Javier: 33/3 = 11 km/h