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19 September, 11:48

A car travels 237 miles in the same time that a motorcycle travels 207 miles. If the car's speed is 10 miles per hour more than the motorcycle's, find the speed of the car and the speed of the motorcycle.

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  1. 19 September, 15:12
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    Speed of motorcycle = x

    speed of car = X + 10

    travel time = distance / speed

    car travel time = 237 / (x+10)

    motorcycle travel time = 207/x

    set them to equal each other:

    237/x+10 = 207/x

    cross multiply:

    237x = 207 (x+10)

    distribute the right side:

    237x = 207x + 2070

    subtract 207x from both sides:

    30x = 2070

    divide both sides by 30:

    x = 2070 / 30

    x = 69

    speed of motorcycle was 69 miles per hour

    speed of car was 69 + 10 = 79 miles per hour
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