SOLUTION: Ms coburn drove 280 miles from orange county to san luis obispo to visit some friends. If she had driven 5 miles per hour faster, the trip would have been shorter by an hour. At wh

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Ms coburn drove 280 miles from orange county to san luis obispo to visit some friends. If she had driven 5 miles per hour faster, the trip would have been shorter by an hour. At wh      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 875074: Ms coburn drove 280 miles from orange county to san luis obispo to visit some friends. If she had driven 5 miles per hour faster, the trip would have been shorter by an hour. At what speed did Ms.Coburn actually drive?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Ms coburn drove 280 miles from orange county to san luis obispo to visit some friends. If she had driven 5 miles per hour faster, the trip would have been shorter by an hour. At what speed did Ms.Coburn actually drive?
***
x=speed Ms Coburn actually drove
x+5=new speed
travel time=distance /speed
280%2Fx-280%2F%28x%2B5%29=1
280x+1400-280x=x(x+5)=x^2+5x
x^2+5x-1400=0
(x-35)(x+40)=0
x=-40(reject)
x=35
speed Ms Coburn actually drove=35 mph