Multiple choice

Passage

Directions: The following question is accompanied by statements (A), (B) and (C). Determine the statements(s) sufficient/necessary to answer the question.

A man is passed by a passenger train running at 41 km/h. Assuming man's length as negligible, in how many seconds will the train cross the man? Statements: A. Another 50 m long goods train, coming from opposite direction, running at 40 km/h, crosses the passenger train. B. The passenger train is 100 m long. C. The man is running at 5 km/h in the same direction in which the passenger train is going.

  1. A and C together

  2. A and B together

  3. B and C together

  4. A and either B or C

  5. All statements are necessary
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To find the time taken to cross the man, we need the relative speed and the length of the train. Statement B provides the length (100m). Statement C provides the man's speed, allowing calculation of relative speed (41 - 5 = 36 km/h). Statement A is irrelevant as it introduces a different train.

AI explanation

The formula to find the time for a train to cross a person is time equals train length divided by relative speed. Statement B provides the passenger train length of 100 m, and statement C provides the man's speed of 5 km/h. Since the train moves at 41 km/h, the relative speed is 36 km/h (or 10 m/s), meaning the train takes 10 seconds to cross the man, so only statements B and C together are required.

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