Multiple choice

A good train runs at a speed of $72$ km/hr and crosses a $250$ m long platform in $26$ seconds. What is the length of the goods train?

  1. $130$ m
  2. $200$ m
  3. $270$ m
  4. $170$ m
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C Correct answer
Explanation

Speed = 72 km/hr = 72 * 5/18 = 20 m/s. Distance = Speed * Time = 20 * 26 = 520 m. Train length = Distance - Platform = 520 - 250 = 270 m.

AI explanation

First, convert the speed of 72 km/hr to meters per second by multiplying by 5/18, which gives 20 m/s. Using the formula total distance equals speed multiplied by time, the total distance covered in 26 seconds is 20 m/s multiplied by 26 seconds, which equals 520 m. The total distance is the sum of the train's length and the platform's length, so the train's length is 520 m minus 250 m, resulting in 270 m. The result is 270 m.

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