SOLUTION: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.

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Question 36033: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the speed
Equation:
200%2Fx-200%2F%28x%2B10%29=1
200[(x+10)-(x)]=(x)(x+10)
200%2810%29=x%5E2%2B10x
2000=x%5E2%2B10x
x%5E2%2B10x-2000=0
Factor:
x=-50 or x=40
Hence, his speed was 40mph.
Paul.