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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Time and Distance

A train takes 9 seconds to cross a pole and 24 seconds to cross a bridge 450 m long at a constant speed. What is the length of the train?

The train is 270 m long. Its speed is L/9, and crossing the bridge covers L plus 450 m in 24 seconds. Solving gives 15L = 4050, so L = 270 m, with a speed of 30 m/s.

  1. A240 m
  2. B270 mCorrect
  3. C300 m
  4. D360 m

Explanation

Let length be L; speed = L/9. Crossing the bridge: (L + 450)/24 = L/9, so 9L + 4050 = 24L, giving 15L = 4050 and L = 270 m. Check: speed 30 m/s, 720/30 = 24 s.

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