Multiple choice

How much time does a 50 m long train, moving with a speed of 68 km/hr, take to pass another train, 75 m long moving with a speed of 50 km/hr, in the same direction?

  1. 30 sec

  2. 25 sec

  3. 32 sec

  4. 5 sec

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When two trains move in the same direction, their relative speed is the difference of their speeds, which is 68 - 50 = 18 km/hr, or 5 m/s. The total distance to be covered to pass each other is the sum of their lengths, 50 + 75 = 125 m. The time taken is therefore 125 / 5 = 25 seconds.

AI explanation

When two objects move in the same direction, their relative speed is the difference between their speeds: 68 km/hr - 50 km/hr = 18 km/hr. Converting this relative speed to meters per second requires multiplying by 5/18, which results in 5 m/s. The total distance to be covered for the trains to pass each other is 50 m + 75 m = 125 m. Dividing this distance by the relative speed gives the time: 125 m divided by 5 m/s equals 25 seconds.