Multiple choice

A train, with a uniform speed, crosses a platform, 162 meters long, in 18 seconds and another platform, 120 meters long, in 15 seconds. The speed of the train is

  1. 14 km/hr

  2. 42 km/hr

  3. 50.4 km/hr

  4. 67.2 km/hr
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let train length = L meters, speed = S m/s. Crossing 162m platform: L + 162 = 18S. Crossing 120m platform: L + 120 = 15S. Subtracting: 42 = 3S, so S = 14 m/s. Converting to km/hr: 14 × 3.6 = 50.4 km/hr. Option B (42 km/hr) ≈ 11.7 m/s, and option D (67.2 km/hr) ≈ 18.7 m/s, neither satisfies both equations.

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