SOLUTION: Can you help me solve this problem: A man bicycles 5 mph faster than he can walk. He bicycles 24 miles and walks back along the same route in 11 hours. How fast does he walk?

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Question 163435: Can you help me solve this problem: A man bicycles 5 mph faster than he can walk. He bicycles 24 miles and walks back along the same route in 11 hours. How fast does he walk?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x=walking speed __ t=d/r

[24/(x+5)]+[24/x]=11 __ multiplying by x(x+5) __ 24x+24x+120=11x^2+55x

0=11x^2+7x-120 __ factoring __ 0=(11x+40)(x-3)

0=11x+40 __ -40/11=x __ negative value not realistic

0=x-3 __ 3=x