# SOLUTION: This question is not from a book. Steve traveled 150 miles at a certain speed. Had he gone 20mph faster the trip would have taken 2 hours less. Find the speed of his vehicle

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: This question is not from a book. Steve traveled 150 miles at a certain speed. Had he gone 20mph faster the trip would have taken 2 hours less. Find the speed of his vehicle      Log On

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 Click here to see ALL problems on Travel Word Problems Question 186871: This question is not from a book. Steve traveled 150 miles at a certain speed. Had he gone 20mph faster the trip would have taken 2 hours less. Find the speed of his vehicleAnswer by josmiceli(9661)   (Show Source): You can put this solution on YOUR website!Let = the speed of the vehicle Let = distance in miles Let = time in hours given: mi (1) (2) --------------------------------- From (1), Substitute this in (2) (2) (2) Subtract from both sides (2) Add to both sides (2) Multiply both sides by (2) Add to both sides (2) divide both sides by (2) I will find by completing the square (you could use quadratic formula also) (2) (2) (2) Now both sides are perfect squares (2) Take the square roots of both sides (2) (2) (there is a negative solution also, ) The speed of his vehicle is 30 mi/hr check answer: (1) (1) (1) hrs and (2) (2) (2) (2) OK