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Average SpeedDate: 08/26/97 at 20:50:32 From: Patapol Pawananon Subject: Algebra A person travels up a hill at 10 mph. and back down at 20 mph. What is the average speed for the entire trip?
Date: 08/27/97 at 08:02:34
From: Doctor Anthony
Subject: Re: Algebra
The answer is NOT 15 mph because he spends longer at the slower speed.
Let x = distance up the hill
Time up the hill = x/10
Time down the hill = x/20
Total time = x/10 + x/20 = 3x/20
Total distance = 2x
Average speed = 2x/(3x/20) = 40/3 = 13.333 mph
-Doctor Anthony, The Math Forum
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