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    Question

    A train travelling with a speed of ‘x’ km/h can

    cross a pole in 6 seconds, and a 180 metre long platform in 15 seconds. Find the distance travelled by the train in 7 hours.
    A 360 km Correct Answer Incorrect Answer
    B 432 km Correct Answer Incorrect Answer
    C 490 km Correct Answer Incorrect Answer
    D 504 km Correct Answer Incorrect Answer

    Solution

    Let speed of train = y m/s
    So, length of train = 6 × y = 6y metres

    According to question:
    6y + 180 = 15y
    ⇒ 9y = 180
    ⇒ y = 20 m/s

    So, x = 20 × 18/5 = 72 km/h
    Desired distance = 72 × 7 = 504 km

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