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.

Question 154325This question is from textbook
: 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. This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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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Original speed data:
distance = 200 miles ; rate = x hours ; rate = 200/x mph
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New speed Data
distance = 200 miles ; rate = x + 10 hrs; rate = 200/(x+10) mph
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EQUATION
old time - new time = 1
200/x - 200/(x+10) = 1
200x + 2000 - 200x = x^2+10x
x^2 + 10x -2000 = 0
(x-20)(x+10) = 0
Positive answer:
x = 20 mph (original speed)
x+10 = 30 mph (new speed
=================
Cheers,
Stan H.
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