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12 May, 12:21

Two trains A and B are 240 miles apart. Both start at the same time and travel toward each other. They meet 3 hours later. The speed of train A is 20 miles faster than train B. Find the speed of each train. (SHOW WORK)

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  1. 12 May, 14:03
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    Answer: Train A = 50 mph; Train B = 30 mph

    Step-by-step explanation:

    In this case, let's call the speed of both trains as:

    Va: speed of train A

    Vb: speed of train B

    As train A is faster than train B, let's call speed of train B as X; So if Vb is X, then Va would be:

    Vb = X

    Va = X + 20

    If we combine both Speed, we have:

    V = Va + Vb = X + X + 20 = 2X + 20

    Now that we have an expression for the combined speed, let's recall the formula for speed in general:

    V = d/t

    Where:

    d: distance = 240 miles

    t: time = 3 hours

    Combining all the data we have:

    V = 240/3

    but V is 2X + 20 so:

    2X + 20 = 240/3

    Solving for X:

    2X + 20 = 80

    2X = 80 - 20

    2X = 60

    X = 60/2

    X = Vb = 30 mph

    Now that we know speed of one train, we can know the speed of the other train:

    Va = 30 + 20 = 50 mph
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