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CAT 2017 Slot 2 · Quant · Time, Speed and Distance · easy

A train crosses a signal pole in 12 seconds and a 360-metre long platform in 30 seconds, moving at a constant speed. What is the length of the train?

Single correct option

A train crosses a signal pole in 12 seconds and a 360-metre long platform in 30 seconds, moving at a constant speed. What is the length of the train?
  1. A. 200 m
  2. B. 220 m
  3. C. 240 m
  4. D. 270 m
Show answer and solution

Answer: (C) 240 m

Let the length be L and the speed v.

Pole: L = 12v. Platform: L + 360 = 30v.

Subtracting, 360 = 18v ⇒ v = 20 m/s. Hence L = 12 × 20 = 240 m.

Tip: the extra 18 seconds are spent covering exactly the platform length.
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Original question written in the CAT 2017 Slot 2 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake