Multiple choice

If a train $110$ m long passes a telegraph pole in $3$ seconds, then the time taken (in seconds) by it to cross a railway platform $165$ m long, is

  1. $3$
  2. $4$
  3. $5$
  4. $7.5$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Speed of the train = distance / time = 110 m / 3 s = 110/3 m/s. To cross a 165 m platform, the train must cover its own length plus the platform length: 110 + 165 = 275 m. Time = 275 / (110/3) = 275 * 3 / 110 = 7.5 seconds.

AI explanation

First, find the speed of the train by dividing its length of 110 m by the time of 3 seconds it takes to pass the pole, giving a speed of 110/3 m/s. To cross a railway platform, the train must cover a total distance equal to its own length plus the platform length, which is 110 m plus 165 m equals 275 m. Divide this total distance of 275 m by the speed of 110/3 m/s to find the time. The calculation 275 divided by 110/3 yields 7.5 seconds.

Keep practicing — related questions