Multiple choice

A train travelling at a speed of 60 km/hr passes the platform of 500 m in just 50 seconds. Find the length of the train.

  1. 333.5 m

  2. 343.5 m

  3. 353.5 m

  4. 363.5 m

  5. None of these
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A Correct answer
Explanation

Speed = 60 km/hr = 60 * 5/18 m/s = 50/3 m/s. Distance = Speed * Time = (50/3) * 50 = 2500/3 = 833.33 m. Train length = Total distance - Platform length = 833.33 - 500 = 333.33 m.

AI explanation

Converting the train's speed from km/hr to m/s, we multiply 60 by 5/18 to get 50/3 m/s. The total distance covered in 50 seconds is speed multiplied by time, giving 50/3 times 50, which equals 2500/3 m. Since this total distance includes the 500 m platform, we subtract 500, or 1500/3, from the total to find the train length. The length of the train is 1000/3 m, or 333.5 m.

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