Two goods trains, each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr.…

Question

Two goods trains, each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr. Find the time taken by the slower train to pass the driver of the faster one.

1. A. 12 sec
2. B. 24 sec (Correct answer)
3. C. 48 sec
4. D. 60 sec

Correct Answer

Option B — 24 sec

Detailed Solution & Explanation

The correct answer is 24 sec.

Key Points

• To pass the driver (a point), the slower train covers its own length = 500 m. Relative speed = 45+30 = 75 km/hr = 75000/3600 = 125/6 m/s. Time = 500/(125/6) = 500x6/125 = 24 seconds.