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CAT 2016 Slot 2 · Quant · Time, Speed and Distance · easy

A train crosses a pole in 12 seconds and a 300-metre-long platform in 27 seconds. What is the length of the train?

Single correct option

A train crosses a pole in 12 seconds and a 300-metre-long platform in 27 seconds. What is the length of the train?
  1. A. 200 m
  2. B. 240 m
  3. C. 260 m
  4. D. 300 m
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Answer: (B) 240 m

When crossing a pole the train covers its own length L. When crossing the platform it covers L + 300.

The extra 300 m takes 27 − 12 = 15 s, so speed = 300/15 = 20 m/s.

L = 20 × 12 = 240 m.

Tip: subtracting the two cases removes the unknown length straight away.
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Original question written in the CAT 2016 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