Multiple choice

At what time will the train reach city X from city Y? Statement I: The train crosses another goods train of equal length of 150 meters running in the same directions in 90 seconds. Statement II: The train leaves city Y at 8:40 a.m. for city X situated at a distance of 600 km. Statement III: The 150 meters long train crosses a signal pole in 20 seconds.

  1. I and II

  2. II and III

  3. Any two

  4. All three together are sufficient

  5. All three together are not sufficient

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement III gives train length (150m) and time to cross pole (20s), so speed = 150/20 = 7.5 m/s. Statement II gives distance (600km) and departure time (8:40 a.m.). Time = 600,000m / 7.5 m/s = 80,000s = 22h 13m 20s. Arrival ≈ 8:40 + 22h 13m = 6:53 p.m. next day. Statements II and III are sufficient. Statement I is unnecessary.