SOLUTION: Jake drives a tractor from one town to another, a distance of 160 kilometers. He drives 8 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Jake drives a tractor from one town to another, a distance of 160 kilometers. He drives 8 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does       Log On


   

Question 899123: Jake drives a tractor from one town to another, a distance of 160 kilometers. He drives 8 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does he drive each way?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
ake drives a tractor from one town to another, a distance of 160 kilometers. He drives 8 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does he drive each way?
***
let x=speed to town
x+8=speed on return trip
travel time=distance/speed
..
160%2Fx-160%2F%28x%2B8%29=1
lcd:x(x+8)
160(x+8)-160x=x(x+8)
160x+1280-160x=x^2+8x
x^2+8x-1280=0
(x+40)(x-32)=0
x=-40(reject)
or
x=32
x+8=40
speed to town=32 km/hr
speed on return trip=40 km/hr