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?
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x=speed Ms Coburn actually drove
x+5=new speed
travel time=distance /speed
{{{280/x-280/(x+5)=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