A train speed past a pole in 15 seconds and a platform 100 m long in 25…

2025

A train speed past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

  1. A.

    150 mts

  2. B.

    125 mts

  3. C.

    165 mts

  4. D.

    112 mts

Attempted by 15 students.

Show answer & explanation

Correct answer: A

Solution: find the train length.

  1. Let L be the length of the train in metres.

  2. Passing a pole in 15 s means speed = L / 15 (m/s).

  3. Passing a 100 m platform in 25 s means (L + 100) / speed = 25.

  4. Substitute speed: (L + 100) / (L/15) = 25 ⇒ 15(L + 100) = 25L.

  5. Solve: 15L + 1500 = 25L ⇒ 1500 = 10L ⇒ L = 150.

Answer: 150 mts

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