SOLUTION: Olivia can walk 8 mi in the same amount of time she can bike 22 mi. She bikes 7 mph faster than she walks. Find her walking and biking speeds.

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Question 902299: Olivia can walk 8 mi in the same amount of time she can bike 22 mi. She bikes 7 mph faster than she walks. Find her walking and biking speeds.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Olivia can walk 8 mi in the same amount of time she can bike 22 mi. She bikes 7 mph faster than she walks. Find her walking and biking speeds.
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let x=Olivia's walking speed
x+7=Olivia's biking speed
distance/speed=travel time (same for both speeds)
..
8%2Fx=22%2F%28x%2B7%29
22x=8x+56
14x=56
x=4
x+7=11
Olivia's walking speed=4 mph
Olivia's biking speed=11 mph