Multiple choice

A train of 320 m cross a platform in 24 seconds at the speed of 120 km/h. while a man cross same platform in 4 minute.What is the speed of man in m/s?.

  1. $2.4$
  2. $1.5$
  3. $1.6$
  4. $2.0$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The train speed is 120 km/h = 120 * 5/18 = 100/3 m/s. The train crosses the platform in 24s, so total distance (train + platform) = (100/3) * 24 = 800m. Platform length = 800 - 320 = 480m. The man crosses the 480m platform in 4 minutes (240 seconds). Speed = 480 / 240 = 2 m/s.

AI explanation

First, find the length of the platform using the formula Distance = Speed * Time, where the total distance covered by the train is its length plus the platform's length, so 120 * (5/18) * 24 = 800 m. The platform length is 800 m - 320 m = 480 m. Since the man crosses this 480 m platform in 4 minutes (240 seconds), his speed is 480 / 240 = 2.0 m/s. The speed of the man is 2.0 m/s.

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