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    In a double track rail route, two trains start simultaneously from the opposite stations 200 km apart. The train A runs Westwards at a speed of 50 km/
    Question

    In a double track rail route, two trains start simultaneously from the opposite stations 200 km apart. The train A runs Westwards at a speed of 50 km/hr and the opposite train B runs Eastwards at 40 km/hr . After 3h, what will be the distance between these two trains?

    A.

    70 km

    B.

    30 km

    C.

    50 km

    D.

    80 km

    Correct option is A

    Given:

    - Distance between stations = 200 km

    - Speed of Train A = 50 km/hr (Westwards)

    - Speed of Train B = 40 km/hr (Eastwards)

    - Time = 3 hours

    Formula Used:

    Distance covered = Speed × Time

    Relative speed (since trains are moving towards each other) = Sum of their speeds

    Solution:

    Relative speed = 50 + 40 = 90 km/hr

    Distance covered by both trains in 3 hours = 90 × 3 = 270 km

    Since the initial distance between them is 200 km, and they have covered 270 km together, they must have crossed each other.

    Distance between trains after 3 hours = Distance covered - Initial distance

    = 270 - 200 = 70 km

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