A car travels 288 miles in the same time a motorcycle travels 248 miles. If the cars speed is 10 miles per hour more than the motorcycles wh

Question

A car travels 288 miles in the same time a motorcycle travels 248 miles. If the cars speed is 10 miles per hour more than the motorcycles what is the speed of the car and motorcycle

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Gabriella 4 weeks 2021-09-19T04:57:39+00:00 1 Answer 0

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    2021-09-19T04:59:37+00:00

    Answer:

    The speed of the motorcycle is 62 miles per hour and of the car is 72 miles per hour.

    Step-by-step explanation:

    The equation for the velocity is given by:

    v = \frac{d}{t}

    In which d is the distance and t is the time.

    Motorcycle:

    Velocity v, d = 248. Then

    v = \frac{248}{t}

    Car:

    Velocity v+10, d = 288. Then

    v + 10 = \frac{288}{t}

    From the first equation:

    v = \frac{248}{t}

    vt = 248

    t = \frac{248}{v}

    Replacing in the second:

    v + 10 = \frac{288}{t}

    v + 10 = \frac{288}{\frac{248}{v}}

    v + 10 = \frac{288v}{248}

    288v = 248(v + 10)

    288v = 248v + 2480

    40v = 2480

    v = \frac{2480}{40}

    v = 62

    The speed of the motorcycle is 62 miles per hour and of the car is 72 miles per hour.

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