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    Question

    A train A of length 200 m is moving at 72 km/h. It meets

    another train B coming from the opposite direction at 54 km/h. If the two trains completely cross each other in 16 seconds, what is the length of train B (in metres)?
    A 520 m Correct Answer Incorrect Answer
    B 360 m Correct Answer Incorrect Answer
    C 320 m Correct Answer Incorrect Answer
    D 400 m Correct Answer Incorrect Answer

    Solution

    ATQ, Convert speeds to m/s: 72 km/h = 72 × 1000/3600 = 20 m/s 54 km/h = 15 m/s Relative speed (opposite directions) = 20 + 15 = 35 m/s. Time to cross = 16 s ⇒ total distance covered = 35 × 16 = 560 m. Total distance = length(A) + length(B) = 200 + L_B = 560 L_B = 560 − 200 = 360 m.

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