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    Question

    Two trains ‘A’ and ‘B’ of length 480 metres and 320

    metres respectively are travelling towards each other. Ratio of speed of ‘A’ to ‘B’ is 2:3. If the trains take 32 seconds to cross each other from the time they meet each other, then find the average of speeds (in km/h) of trains ‘A’ and ‘B’.
    A 30 km/h Correct Answer Incorrect Answer
    B 36 km/h Correct Answer Incorrect Answer
    C 45 km/h Correct Answer Incorrect Answer
    D 54 km/h Correct Answer Incorrect Answer
    E 60 km/h Correct Answer Incorrect Answer

    Solution

    Let the speed of ‘A’ and ‘B’ be ‘2y’ and ‘3y’ m/s respectively.
    Relative speed = 2y + 3y = ‘5y’ m/s
    ATQ,
    5y × 32 = 480 + 320
    ⇒ 160y = 800
    ⇒ y = 5
    Therefore, required average = (2y + 3y) ÷ 2
    = 2.5y = 2.5 × 5 = 12.5 m/s = 12.5 × (18/5) = 45 km/h

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