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26 June, 01:53

A cyclist traveled 9 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 45 kilometers, the skater had gone 30 kilometers. What's the speed of the skater?

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  1. 26 June, 02:10
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    Therefore, the speed of the skater is 6 kilometers per hour.

    Step-by-step explanation:

    speed of the skater as in kilometers per hour = x

    speed of the cyclist = x + 9

    45 / (x + 9) = 30 / (x)

    45x = 30x + 270

    45x - 30x = 270

    15x = 270

    x = 270/15

    x = 18

    x + 9 = 18

    x = 18 - 9

    x = 9

    9/45 = x/30

    45x = 270

    x = 270/45

    x = 6

    Therefore, the speed of the skater is 6 kilometers per hour.
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