Multiple choice

A train $225$ m long is travelling at a uniform speed of $54$ km/h. How much time will it take to pass a platform $150$ m long?

  1. $15$ sec
  2. $45$ sec
  3. $5$ sec
  4. $25$ sec
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D Correct answer
Explanation

Total distance = 225m + 150m = 375m. Speed = 54 km/h = 54 * (5/18) m/s = 15 m/s. Time = 375 / 15 = 25 seconds.

AI explanation

The total distance the train must cover is the sum of its length and the platform's length, which is 225 m plus 150 m, equalling 375 m. Using the conversion factor of 5 over 18, we convert the train's speed of 54 km/h to 15 m/s. By applying the formula time equals distance divided by speed, we divide 375 by 15 to get 25 seconds.

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