Algebra

The speed of a passenger train is 20 mph faster than the speed of a freight train. The passenger train travels 250 miles in the same time it takes the freight train to travel 150 miles. find the speed of each train.

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  1. V = slower train speed
    V + 20 = faster train speed
    T = number of hours required by both
    V*T = 150
    (V + 20)*T = 250

    V*T + 20T = 250

    20 T = 100
    T = 5 hours
    V = 150/T = 30 mph
    faster train speed = V + 20 = 50 mph

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