SOLUTION: Jake drives a tractor from one town to another, a distance of 130 kilometers. He drives 9 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does

Question 990270: Jake drives a tractor from one town to another, a distance of 130 kilometers. He drives 9 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does he drive each way?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in hrs for the trip to town
= time in hrs for return trip
Let = his speed in km/hr for the trip to town
= his speed in km/hr for return trip
---------------------------------------------
Going to town:
(1)
Return trip:
(2)
-----------------------------
(1)
and
(2)
Multiply both sides by
(2)
(2)
(2)
Use quadratic formula

He drives 30 km/hr going to town
He drives 39 km/hr returning from town
-------------------------------------
check:
(1)
(1)
(1) hrs
and
(2)
(2)
(2)
(2)
(2)
(2)
(2) hrs
OK

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