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    Question

    A train can cross a pole in 32 seconds. While if the

    train increased its speed by 45% then time taken by it to cross 289 metres long platform is 42 seconds. Find the time taken by the train to cross a 120 metre long tunnel.
    A 56 seconds Correct Answer Incorrect Answer
    B 58 seconds Correct Answer Incorrect Answer
    C 46 seconds Correct Answer Incorrect Answer
    D 44 seconds Correct Answer Incorrect Answer

    Solution

    Let speed of train is ‘x’ m/s So, length of train = 32 × x = 32x metres And, 32x + 289 = 1.45 × x × 42 Or, 28.9x = 289 Or, x = 10 m/s So, length of train = 32 × 10 = 320 metres Desired time = (320 + 120)/10 = 44 seconds

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