Multiple choice

A train running at a speed of 60 kmph crosses a platform, double its length, in 32.4 seconds. What is the length of the platform?

  1. 180 m

  2. 240 m

  3. 360 m

  4. 400 m

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Speed = 60 km/hr = 60 * 5/18 = 50/3 m/s. Distance = Speed * Time = (50/3) * 32.4 = 540 m. Train + Platform = 540. If Platform = 2 * Train, then 3 * Train = 540, so Train = 180 and Platform = 360.

AI explanation

Let the length of the train be L, which means the length of the platform is 2L. Converting the speed of 60 kmph to meters per second gives 60 multiplied by 5/18, which equals 50/3 m/s. Using the distance formula, total distance equals speed multiplied by time, so (L + 2L) equals 50/3 multiplied by 32.4. This gives 3L = 540, therefore L = 180. The length of the platform is double this value, which is 360 m.

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