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    Question

    Two trains of same length are running in parallel tracks

    in the same direction with speed 50 km/hr and 110 km/hr respectively. The latter completely crosses the former in 30 seconds. Find the length of each train (in m).
    A 225 m Correct Answer Incorrect Answer
    B 250 m Correct Answer Incorrect Answer
    C 125 m Correct Answer Incorrect Answer
    D 200 m Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    When two trains cross each other, they cover distance equal to the sum of their lengths with relative speed.  Let's take length of each train = x So, total length of both trains = 2x Relative speed = (110 – 50) × (5/18) = 50/3 m/sec. ∴ Total length = Time × Relative speed ⇒  2x = (30 × 50)/3 ⇒  x = 250 m

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