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11 March, 07:00

If the speed of x meters per second is equivalent to the speed of y kilometers per hour, what is y in terms of x? (1 kilometer = 1,000 meters) A. 5x/18 B. 6x/5 C. 18x/5 D. 60x E. 3,600,000x

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  1. 11 March, 07:17
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    Given that

    x m/s is equivalent to y km/hr

    We know that 1000m=1km

    Also, 1hour=60mins

    And, 1mins=60sec

    Therefore,

    xm/s=y (km/hr) * (1000m/1km) * (1hr/60mins) * (1mins/60s)

    Then, the km cancels out, also the hours cancels out and the minutes cancel out

    Then, we see left with

    xm/s=y * 1000m/3600s

    xm/s = (1000/3600) y m/s

    xm/s=5y/18 m/s

    Then, make y the subject of the formula

    Cross multiply

    18xm/s=5y

    Divide both side by 5

    y=18x/5

    The correct answer is C
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