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14 August, 12:36

A car travels 200 miles in the same time that a train travels 300 miles. The speed of the train is 20 miles per hour more than the speed of the car. Which equation could be used to determine the speed of the car, r, in miles per hour?

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  1. 14 August, 16:09
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    The equation is

    time = distance/rate

    and the train is going 300 miles

    the car is going 200 miles

    the train goes 20 miles faster than the car

    fitting the numbers into the equation

    200/r=300 / (r+20)

    cross multiply

    200/r = 300 / (r+20)

    200 (r+20) = 300r

    distributive property

    4000+200r=300r

    subtract 200r from both sides to add like terms

    4000=100r

    divide 100 from each side to get r by itself

    40 = rate of car

    60 = rate of train
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