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    Question

    Train โ€˜Aโ€™ can cross a pole in 4 seconds and a 150

    metre long platform in 10 seconds. If the ratio of length of train โ€˜Aโ€™ and train โ€˜Bโ€™ is 2:5, respectively, then find the time taken by train โ€˜Bโ€™ to cross a pole with a speed of 25 m/s.
    A 10 second Correct Answer Incorrect Answer
    B 12 second Correct Answer Incorrect Answer
    C 13 second Correct Answer Incorrect Answer
    D 14 second Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the length and speed of the train โ€˜Aโ€™ be โ€˜lโ€™ metre and โ€˜sโ€™ m/s, respectively. According to question, l = 4s Also, 10s = 4s + 150 Or, 6s = 150 Or, s = 25 Therefore, length of train โ€˜Aโ€™ = 4s = 100 metres Length of train โ€˜Bโ€™ = 150 ร— (5/2) = 250 metres Required time taken = 250 รท 25 = 10 second

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