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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 120 km/hr respectively. The latter completely crosses the former in 54 seconds. Find the length of each train (in m).
    A 515 m Correct Answer Incorrect Answer
    B 540 m Correct Answer Incorrect Answer
    C 525 m Correct Answer Incorrect Answer
    D 500 m 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 = (120 – 50) × (5/18) = 175/9 m/sec. ∴ Total length = Time × Relative speed ⇒  2x = (54 × 175)/9 ⇒  x = 525 m

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