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    Question

    Train P takes 27 seconds to cross

    a tree, and Train Q overtakes Train P, both traveling in the same direction, in 3 minutes. The speeds of Train P and Train Q are 60 km/h and 48 km/h, respectively. What is the time taken by Train Q to overtake a bike moving in the same direction at a speed of 18 km/h?
    A 12 secs Correct Answer Incorrect Answer
    B 25 secs Correct Answer Incorrect Answer
    C 18 secs Correct Answer Incorrect Answer
    D 22 secs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Length of train P = 60 × (5/18) × 27 = 450 m 450 + Length of train Q = (60 - 48) × (5/18) × 180 Length of train Q = 600 - 450 = 150 m Required time = 150/((48 – 18) × 5/18) = 18 seconds

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