A train running at 54 km/hr takes 20 sec to cross a platform and 15 sec to…
2026
A train running at 54 km/hr takes 20 sec to cross a platform and 15 sec to pass a man walking in the same direction at a speed of 6 km/hr. Then the length of platform is
- A.
200 meters
- B.
100 meters
- C.
160 meters
- D.
140 meters
Attempted by 7 students.
Show answer & explanation
Correct answer: B
1. Convert train speed to m/s: 54 × (5/18) = 15 m/s.
2. Find train length: Relative speed with man = (54-6) × (5/18) = 40/3 m/s.
Length = (40/3) × 15 = 200 m.
3. Find platform length: Total distance crossing platform = 15 × 20 = 300 m.
Platform length = Total distance - Train length = 300 - 200 = 100 m.