# 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 153517: 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 ankor@dixie-net.com(15622)   (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. : Let s = his speed then (s+10) = the faster speed : Write a time equation: Time = : Actual time = Faster time - 1 hr = + 1 : Multiply equation by common denominator, s(s+10); results: 200(s+10) = 200s + s(s+10) : 200s + 2000 = 200s + s^2 + 10s : The 200s's are eliminated, leaving us with the quadratic equation: s^2 + 10x - 2000 = 0 easily factors to: (s+50)(s-40) = 0 Positive solution s = 40 mph his speed : : Check solution by finding the time of each 200/40 = 5 hrs 200/50 = 4 hrs