SOLUTION: Please help me solve this problem. 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 ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Please help me solve this problem. 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


   

Question 204078: Please help me solve this problem.
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.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Steve traveled 150 miles at a certain speed.
Had he gone 20 mph faster, the trip would have taken 2 hours less.
Find the speed of his vehicle.
:
Let s = the speed of the car
then
(x+20) = the faster speed
:
Write a time equation: Time dist%2Fspeed
:
150%2Fs = 150%2F%28%28s%2B20%29%29 + 2
:
Multiply this equation by s(s+20) and solve for s, and you have it