SOLUTION: Can someone help me solve this problem? Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hrs less. Find the speed of his vehi

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Can someone help me solve this problem? Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hrs less. Find the speed of his vehi      Log On


   

Question 204080: Can someone help me solve this problem?
Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hrs less. Find the speed of his vehicle.
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Velocity = distance / Time ,,,,or t= d/v
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T1 -2 = T2
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150/v -2 = 150 /(v+20)
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mult thru by v(v+20)
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150(v+20) -2(v)(v+20) = 150(v)
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150v +3000 -2v^2 -40v =150v
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-2v^2 -40v +3000 = 0
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v^2 +20v -1500 = 0
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(v+50)(v-30) = 0
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v= 30, -50 ( not realistic)
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check
150/30=5,,,150/(30+20) =3,,,,ok