Multiple choice

Two trains of equal lengths are running on parallel lines in the same direction at the rate of $46$ km/hr and $36$ km/hr. The faster train passes the slower train in $36$ seconds. What is the length of the trains ?

  1. $50$ m
  2. $72$ m
  3. $80$ m
  4. $82$ m
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A Correct answer
Explanation

Relative speed = 46 - 36 = 10 km/hr = 10 * 5/18 m/s = 25/9 m/s. Distance covered in 36 seconds = (25/9) * 36 = 100 meters. Since this distance represents the sum of the lengths of two equal trains, each train is 50 meters long.

AI explanation

Using the relative speed formula for objects moving in the same direction, the relative speed is 46 - 36 = 10 km/hr, which converts to 10 * (5/18) = 25/9 m/s. Let the length of each train be L, so the total distance the faster train covers to pass the slower one is L + L = 2L. Therefore, 2L = (25/9) * 36, which results in L = 50 m.

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