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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?

  • Math -

    It seems to me that you need the average of 10 and 8.
    18/2 = 9 mph

  • Math -

    No, it's not that simple
    Time for first trip = x/10
    time for second trip =x/8
    distance of total trip = 2x

    rate = total distance/total time
    =2x/(x/10 +x/8)
    =8.88 mph

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