SOLUTION: Darren drives to school in rush hour traffic and averages 32 mph. He returns home in mid-afternoon when there is less traffic and averages 48 mph. What is the distance between his

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Question 780437: Darren drives to school in rush hour traffic and averages 32 mph. He returns home in mid-afternoon when there is less traffic and averages 48 mph. What is the distance between his home and school if the total traveling time is 1 hr 15 min?
Answer by Alan3354(69443) About Me  (Show Source):
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Darren drives to school in rush hour traffic and averages 32 mph. He returns home in mid-afternoon when there is less traffic and averages 48 mph. What is the distance between his home and school if the total traveling time is 1 hr 15 min?
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Find the average speed for the round-trip.
Avg = 2*32*48/(32+48) = 38.4 mi/hr
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RT d = avg speed * 1.25 hr
RT d = 48 miles
One way = 24 miles
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Or,
d/32 + d/48 = 1.25
(48d + 32d)/(32*48) = 1.25
same answer