Multiple choice

A train $100$ meters long running at $54 km/hr$ takes $20$ seconds to pass a bridge.The length of the bridge is

  1. $50$ mt
  2. $150$ mt
  3. $200$ mt
  4. $620$ mt
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C Correct answer
Explanation

Speed = 54 km/hr = 54 * (5/18) = 15 m/s. Distance covered = Speed * Time = 15 * 20 = 300 meters. This distance is the sum of the train length and bridge length. Bridge length = 300 - 100 = 200 meters.

AI explanation

First, convert the train's speed of 54 km/hr to m/s by multiplying by 5/18, which results in 15 m/s. The total distance covered in 20 seconds at this speed is 15 multiplied by 20, equaling 300 m. Let the length of the bridge be x, so the equation is 100 + x = 300. Solving for x gives a bridge length of 200 m.

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