SOLUTION: Sally can ride her bike 8 mph faster than she can run. She rode her bike for 4 1/2 miles and then ran the other 2 miles. Her total time of running and biking was an hour. How fa

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Sally can ride her bike 8 mph faster than she can run. She rode her bike for 4 1/2 miles and then ran the other 2 miles. Her total time of running and biking was an hour. How fa      Log On

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Question 44979: Sally can ride her bike 8 mph faster than she can run. She rode her bike for 4 1/2 miles and then ran the other 2 miles. Her total time of running and biking was an hour. How fast was she running and how fast was she biking?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Biking time = x+8
Running time = x
EQUATION:
4 1/2 -> 9/2 -->4.5
4.5%2F%28x%2B8%29%2B2%2Fx=1
Multiply the whole equation by (x)(x+8)and simplfy:
4.5(x)+2(x+8)=(x)(x+8)
4.5x%2B2x%2B16=x%5E2%2B8x
x%5E2%2B1.5x-16=0
x=3.3 (rounded)
3.3+8=11.3 (biking speed()
Paul.