SOLUTION: a man rode a bike for 12 miles and hiked 8. The total time for the trip was 5 hours. If his rate when he was riding a bike was 10mph faster than his rate walking, what was each rat

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Question 32403: a man rode a bike for 12 miles and hiked 8. The total time for the trip was 5 hours. If his rate when he was riding a bike was 10mph faster than his rate walking, what was each rate?
Answer by Paul(988)   (Show Source): You can put this solution on YOUR website!
 X=WALKING SPEED
X+10=RIDING SPEED
Eqaution:

Cross multiply:
12(x)+8(x+10)=5[(x)(x+10)]




a=1, b=6, c=-16

Simplfy:
x=-8 or x=2
remove negative x=2
2+10=12
Hence, his walking speed was 2mph and his bike speed was 12 mph.
Paul.
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