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.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> 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.       Log On


   

Question 149303: 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 vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
200+=+rt
200+=+%28r%2B10%29%28t-1%29
rt+=+rt+-r+%2B+10t+-10
r+=+10t+-+10%29
200+=+rt
200+=+%2810t-10%29t
200+=+10t%5E2+-10t
0+=+10t%5E2+-+10t+-200
0+=+t%5E2+-1+-+20
0+=+%28t-5%29%28t%2B4%29
t = 5 or t = -4
Since t is time and can't be negative, then t = 5 hours.
If t = 5
200+=+rt
200+=+r+%2A+5
40+=+r