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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 96 of 200

Q96
ArithmeticSpeed, Time & Distance
A 270 meters long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
  1. a.230 m
  2. b.240 m
  3. c.260 m
  4. d.320 m

Answer: (A) 230 m

In opposite directions the relative speed is 200 km/h = $\frac{500}{9}$ m/s, so in 9 seconds they cover 500 m together. That is the sum of the two lengths, so the other train is 500 − 270 = 230 m.