Multiple choice

One day, when Amitabh is standing on a 180 m long railway platform, he observes that a train crosses the platform in 20 seconds and crosses him in 8 seconds. What is the speed of the train?

  1. 52 km/hr

  2. 54 km/hr

  3. 50 km/hr

  4. 48 km/hr

  5. 36 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let L be train length, V be speed. V = L/8. Also V = (L+180)/20. 20V = 8V + 180. 12V = 180. V = 15 m/s. 15 m/s * 18/5 = 54 km/hr.

AI explanation

The train crosses Amitabh in 8 seconds, meaning its length is its speed multiplied by 8. When crossing a 180 m platform, the total distance covered is the length of the train plus 180, so the speed multiplied by 20 equals the speed multiplied by 8 plus 180. Rearranging this gives the speed multiplied by 12 equals 180, resulting in a speed of 15 m/s. Converting 15 m/s to km/hr requires multiplying by 18/5, which gives 54 km/hr.

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