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algebra

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1. The speed of a passenger trin is 18mph faster than the speed of a freight train. The passenger train travels 260 miles in the same time it takes the feight train to travel 170 miles. Find the speed of each train.

  • algebra - ,

    Vf = X mi/h.=Velocity of freight train.
    Vp = (X + 18)mi/h = Velocity of passenger train.

    Eq1: Dp = (X+18)t = 260.

    Eq2: Df = Xt = 170,
    t = 170/X.

    In Eq1, substitute 170/X for t:
    (X+18)170/X = 260,
    Multiply both sides by X:
    170(X+18) = 260x,
    170x + 3060 = 260x,
    260x - 170x = 3060,
    90x = 3060,
    X = 34 mi/h = Speed of freight train.
    X+18 = 34 + 18 = 52 = Speed of passenger train.

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