SOLUTION: A farmer drives a tractor from one town to another, a distance of 180 kilometers. He drives 15 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast

Question 401134: A farmer drives a tractor from one town to another, a distance of 180 kilometers. He drives 15 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does he drive each way?
I got to the point where the problem reads as followed:
r^2-10r-1800
(r-60)(r ?) and that is where I am stuck

Answer by Tatiana_Stebko(1539) (Show Source): You can put this solution on YOUR website!
Let r km/h is tractor's rate from one town to another. For a distance of 180 kilometers it takes time hours
He drives 15 kilometers per hour faster on the return trip, so it rate is (r+15) km/h. For a distance of 180 kilometers it takes hours
A farmer cuts one hour off the time on the return road, so

a quadratic equation , the roots are given by the quadratic formula

or
or <0 extraneous root of the equation, does not satisfy the problem
km/h is tractor's rate from one town to another, back trip rate is km/h
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