SOLUTION: a woman cycles 8 mi/h faster than she runs.every morning she cycles 4mi and run 2and1/2 mi for a total of a one hour workout. how fast does she run

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Question 973734: a woman cycles 8 mi/h faster than she runs.every morning she cycles 4mi and run 2and1/2 mi for a total of a one hour workout. how fast does she run
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
a woman cycles 8 mi/h faster than she runs.every morning she cycles 4mi and run 2and1/2 mi for a total of a one hour workout. how fast does she run.
***
let x=running speed
x+8=cycling speed
Travel time=distance/speed

lcd:x(x+8)

(mult. by 2)

2x^2+3x-40=0
solve for x by quadratic formula:

a=2, b=3, c=-40
ans: x≈3.78
how fast does she run? 3.78 mph

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