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    Question

    A train 150 m long passes a pole in 5 seconds and passes

    a platform in 11 seconds. Find the speed of the train in km/h and the length of the platform.
    A 100 km/h, Platform length = 170 m Correct Answer Incorrect Answer
    B 108 km/h, Platform length = 180 m Correct Answer Incorrect Answer
    C 228 km/h, Platform length = 160 m Correct Answer Incorrect Answer
    D 148 km/h, Platform length = 120 m Correct Answer Incorrect Answer

    Solution

    When passing a pole, distance = length of train = 150 m Time = 5 s Speed = distance / time = 150 / 5 = 30 m/s Convert to km/h: 30 × (18/5) = 108 km/h When passing platform, distance = train length + platform length = 150 + L Time = 11 s, speed = 30 m/s 30 × 11 = 150 + L 330 = 150 + L L = 330 − 150 = 180 m Answer: Speed = 108 km/h, Platform length = 180 m.

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