SOLUTION: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.

Question 84581: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Answer by Flake(45) (Show Source): You can put this solution on YOUR website!
let S = Speed
let T = Time
-----------------
equation-1: 600 = ST
equation-2: 600 = (S+20)(T-1)
So ST=(S+20)(T-1)
ST = ST - S + 20T-20
S = 20T-20
Substitude S.
600 = ST
600 = (20T-20)T
600 = 20T^2 - 20T

Solve with

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