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    Question

    Train A of length 180 m is running at 54 km/h. Train B

    of length 220 m is running at 72 km/h in the same direction. In how many seconds will Train A completely overtake Train B?
    A 60 seconds Correct Answer Incorrect Answer
    B 72 seconds Correct Answer Incorrect Answer
    C 80 seconds Correct Answer Incorrect Answer
    D 45 seconds Correct Answer Incorrect Answer

    Solution

    Convert speeds to m/s: 54 km/h = 54 × (5/18) = 15 m/s 72 km/h = 72 × (5/18) = 20 m/s Relative speed (same direction) = 20 − 15 = 5 m/s To overtake completely, distance covered = sum of lengths = 180 + 220 = 400 m Time = Distance / Relative speed = 400 / 5 = 80 s Answer: 80 seconds.

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