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    Question

    Two trains of same length are running in parallel tracks

    in the same direction with speed 45 km/hr and 105 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

    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 = (105 – 45) × (5/18) = 50/3 m/sec. ∴ Total length = Time × Relative speed ⇒  2x = (30 × 50)/3 ⇒  x = 250 m

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