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    Question

    A train can cross a pole in 33 seconds. While if the train increased its speed by 40% then time taken by it to cross 387 metres long platform is 42 seconds. Find the time taken by the train to cross a 90 metre long tunnel.

    A 45 seconds Correct Answer Incorrect Answer
    B 43 seconds Correct Answer Incorrect Answer
    C 39 seconds Correct Answer Incorrect Answer
    D 34 seconds Correct Answer Incorrect Answer
    E 35 seconds Correct Answer Incorrect Answer

    Solution

    Let speed of train is ‘x’ m/s So, length of train = 33 × x = 33x metres And, 33x + 387 = 1.4 × x × 42 Or, 25.8x = 387 Or, x = 15 m/s So, length of train = 33 × 15 = 495 metres Desired time = (495 + 90)/15 = 39 seconds

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