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    Question

    Train ‘A’ can cross a pole in 10 seconds and a 200

    metre long platform in 14 seconds. If the ratio of length of train ‘A’ and train ‘B’ is 2:5, respectively, then find the time taken by train ‘B’ to cross a pole with a speed of 25 m/s.
    A 50 seconds Correct Answer Incorrect Answer
    B 40 seconds Correct Answer Incorrect Answer
    C 30 seconds Correct Answer Incorrect Answer
    D 55 seconds Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the length and speed of the train ‘A’ be ‘l’ metre and ‘s’ m/s, respectively. According to question, l = 10s Also, 14s = 10s + 200 Or, 4s = 200 Or, s = 50 Therefore, length of train ‘A’ = 10s = 500 metres Length of train ‘B’ = 500 × (5/2) = 1250 metres Required time taken = 1250 ÷ 25 = 50 seconds

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