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20 September, 18:01

Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 500 mi apart in 5 h. How fast is each car traveling?

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  1. 20 September, 18:11
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    The speed of one car is 'S'. The speed of the other car is (S + 10).

    In 5 hours, the first car travels (5S) miles, and the other car travels 5 (S + 10) miles.

    Since they're going in opposite directions, the distance between them at any time

    is the sum of the distance that each one has traveled.

    500 = (5S) + 5 (S + 10)

    500 = 5S + 5S + 50

    500 = 10S + 50

    Subtract 50 from each side:

    450 = 10S

    Divide each side by 10

    S = 45

    S + 10 = 55
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