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)
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given:
(1)
and
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(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
