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26 September, 04:10

Atlanta and Cincinnati are 440 miles apart. John leaves Cincinnati for Atlanta while Pat leaves Atlanta for Cincinnati. John drives 32 mph faster than Pat. How fast is Pat driving if they pass each other in 5 hours?

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  1. 26 September, 05:26
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    28mph

    Step-by-step explanation:

    Let the speed at which Pat drives be xmph.

    Now, we know John travels 32mph faster than Pat. Hence, John's speed is (x + 32) mph

    The total distance is 440 miles.

    Distance = Speed * Time

    The distance traveled by each of them after 5 hours is given as follws;

    Pat = 5 * x = 5x miles

    John = 5 (x + 32) miles

    Now, if we add both distances, we get the total of 440 miles.

    Hence, 5x + 5 (x + 32) = 440

    5x + 5x + 160 = 440

    10x + 160 = 440

    10x = 440 - 160 = 280

    10x = 280

    Hence, x = 280/10 = 28mph
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