SOLUTION: A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour? D= 1

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Question 337669: A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
D= 10 M/H
D=8MPH
(10+8)/2 = 9 M/H
Found 2 solutions by Fombitz, chiexpert:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
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.
.
10%2AT1=X
T1=X%2F10
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.
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8%2AT2=X
T2=X%2F8
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.
Total distance = 2X
Total time=T1%2BT2=X%2F10%2BX%2F8=%284%2F40%29X%2B%285%2F40%29X=%289%2F40%29X
Average speed=Total distance/Total time=2X%2F%28%289%2F40%29X%29=2%2A%2840%2F9%29=80%2F9mph

Answer by chiexpert(48) About Me  (Show Source):
You can put this solution on YOUR website!
D= 10 M/H
D=8MPH
(10+8)/2 = 9 M/H