Multiple choice

A train $110$ m long takes three seconds to pass a standing man. How long is the platform if the train passes through it in $15$ seconds moving with the same speed?

  1. $440$ m
  2. $400$ m
  3. $550$ m
  4. $450$ m
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A Correct answer
Explanation

Speed = 110m / 3s = 110/3 m/s. Time to pass platform = (110 + L) / Speed = 15s. 110 + L = 15 * (110/3) = 5 * 110 = 550. L = 550 - 110 = 440m.

AI explanation

Using the speed formula, the speed of the train is 110 m divided by 3 seconds, which equals 110/3 m/s. When passing the platform, the total distance covered is speed multiplied by 15 seconds, giving 110/3 multiplied by 15, which equals 550 m. This total distance is the sum of the train's length and the platform's length, so the platform length is 550 m minus 110 m, which is 440 m. The result is 440 m.