SOLUTION: You drove 56 miles one way on a service call. On the return trip your average speed was 8 miles per hour faster and took 10 fewer minutes. What was the average speed on the return

SOLUTION: You drove 56 miles one way on a service call. On the return trip your average speed was 8 miles per hour faster and took 10 fewer minutes. What was the average speed on the return

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Question 238860: You drove 56 miles one way on a service call. On the return trip your average speed was 8 miles per hour faster and took 10 fewer minutes. What was the average speed on the return trip?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I write 2 equations, 1 for each trip

given:
mi
mi
mi/hr
(10 min is 1/6 hr)
------------------
given:

(1)
and

------------------
(2)
Substitute (1) in (2)

Subtract from both sides

Multiply both sides by

and, from (1)

Multiply both sides by

Use quadratic equation

(the negative answer is impossible)

The speed on the return trip is 56 mi/hr
check answer:
(1)

-----------------------

hr (1 hr 10 min)
and

hr
OK

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