Multiple choice

A train crosses a platform in 50 seconds, travelling with a speed of 72 km/hr. If the length of the train is 250 metres, then what is the length (in metres) of the platform?

  1. 600

  2. 480

  3. 750

  4. 950

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

Speed = 72 km/hr = 72 * (5/18) = 20 m/s. Distance = Speed * Time = 20 * 50 = 1000 m. Platform length = Total distance - Train length = 1000 - 250 = 750 m.

AI explanation

First, convert the speed of the train to meters per second using the conversion factor of 5/18, which gives 72 * (5/18) = 20 m/s. Using the formula for crossing a platform, the total distance covered is speed multiplied by time, giving 20 * 50 = 1000 meters. Subtracting the length of the train from this total distance gives the length of the platform as 1000 - 250 = 750 meters, so the result is 750.