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GATE 2016 EC (EC3) – Question 5

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice

Two constant-speed trains take 10 s and 15 s respectively to pass a telegraph post completely. Their lengths are 120 m and 150 m respectively. The magnitude of their speed difference in m/s is

  1. 2.0
  2. 10.0
  3. 12.0
  4. 22.0

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Correct answer: (A) 2.0

Explanation

To pass a fixed post, each train travels its own length. The first speed is 120/10=12 m/s and the second is 150/15=10 m/s.

Their speed difference is |12−10|=**2 m/s, A**. No relative-motion correction is needed because both times refer to the stationary post.

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