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7 January, 02:57

A cyclist bikes x distance at 10miles per hour and returns over the same path at 8miles per hour. what is the cyclists average rate for the round trip in miles per hour

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  1. 7 January, 05:48
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    Average speed = total distance travelled / time taken

    in this case total distance = 2x miles

    time taken for first half of the journey = x/10 hours and for second part its x / 8 hours

    average speed = 2x / (x/10 + x/8) = 2 x / (4x + 5x / 40)

    = 2x * 40 / 9x = 80 / 9 mph 8.89 mph
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