SOLUTION: An athletes average speed on her bike is 14mph faster than her average speed running. She can bike 31.5 miles in the same time that it takes her to run 10.5 miles. Find her average

Question 584383: An athletes average speed on her bike is 14mph faster than her average speed running. She can bike 31.5 miles in the same time that it takes her to run 10.5 miles. Find her average speed running and her average speed biking.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
An athletes average speed on her bike is 14mph faster than her average speed running. She can bike 31.5 miles in the same time that it takes her to run 10.5 miles. Find her average speed running and her average speed biking.
**
let x=running speed
x+14=biking speed
travel time=speed/distance
..
(x+14)/31.5=x/10.5
10.5x+10.5*14=31.5x
10.5x+147=31.5x
21x=147
x=7
x+14=21
ans:
running speed=7mph
biking speed=21mph

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