Multiple choice

A $120$ metre long train is running at a speed of $90$ km/hr. It will cross a railway platform $230$ m long in

  1. $4 \displaystyle \frac{4}{5} $ seconds
  2. $9 \displaystyle \frac{1}{5} $ seconds
  3. $7$ seconds
  4. $14$ seconds
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D Correct answer
Explanation

The total distance the train needs to cover to completely cross the platform is the sum of the train's length and the platform's length, which is 120 + 230 = 350 meters. Converting the train's speed to meters per second gives 90 * (5/18) = 25 m/s. Dividing the total distance by this speed yields a time of 14 seconds.

AI explanation

The total distance the train must cover is the sum of its length and the platform length, which is 120 m plus 230 m to equal 350 m. Using the unit conversion from km/hr to m/sec, a speed of 90 km/hr becomes 90 multiplied by 5/18, which equals 25 m/sec. The time equals distance divided by speed, so 350 divided by 25 results in 14 seconds.

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