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9 May, 08:29

Two cars leave from a town at the same time traveling in opposite directions. One travels 5 mph faster than the other. In 3 hours, they are 267 miles apart. Find how fast each is traveling?

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  1. 9 May, 10:11
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    Let the slower cars speed equal X.

    The faster cars speed would be X+5 (5 mph faster).

    They traveled for 3 hours

    Multiply the time of travel by speed to equal the number of miles traveled.

    So you have:

    3X + 3 (X+5) = 267 miles

    Simplify the left side:

    3X + 3X+15 = 267

    Combine like terms:

    6x + 15 = 267

    Subtract 15 from each side"

    6x = 252

    Divide each side by 6:

    x = 252 / 6

    X = 42

    The slower car was traveling at 42 mph and the faster car was traveling at 47 mph.
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