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

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) (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

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
RELATED QUESTIONS
Jeff and Carla Cole are driving separately from San Luis Obispo,California, to the north... (answered by Earlsdon)

Susie drove 100 miles to visit a friend. If she had driven 8 miles per hour faster than... (answered by josmiceli)

Arrival time: Jeff and Carla are driving separately from San Luis Obispo California to... (answered by Paul)

linda is going to visit a freind who lives in san luis obispo, which is 300 miles away.... (answered by pedjajov)

A teacher drove 280 miles to attend a conference and arrived 1 hour late. The teacher... (answered by josmiceli,MathTherapy)

Mary left home at 12 noon and drove to visit her mom who lives 20 miles away. After she... (answered by khwang,kiru_khandelwal)

Traveling from Los Angeles to San Diego, Peter drove 30 miles at 30 miles per hour, 35... (answered by ewatrrr)

On her way home from work, Brenda drove 20 miles at 60 miles per hour. Due to poor... (answered by jorel555)

I drove to my parents house at 60 miles per hour. If I had driven 50 miles an hour... (answered by josgarithmetic)