A train running at the speed of 72 km/hr passed a man in 14 sec and a platform…
2025
A train running at the speed of 72 km/hr passed a man in 14 sec and a platform in 32 sec respectively. Find the length of the platform.
- A.
360 meter
- B.
280 meter
- C.
210 meter
- D.
240 meter
Attempted by 7 students.
Show answer & explanation
Correct answer: A
Correct Option
Option A: 360 meter
Step-by-Step Solution
Convert Speed from km/hr to m/s:
To convert 72 km/hr to m/s, multiply by 5/18.
Speed = 72 * (5/18) = 20 m/s.
Calculate the Length of the Train:
The train passes a man in 14 seconds. When a train passes a man, the distance covered is equal to the length of the train.
Train Length = Speed * Time = 20 m/s * 14 s = 280 meters.
Calculate the Total Distance (Train + Platform):
The train passes a platform in 32 seconds.
Total Distance = Speed * Time = 20 m/s * 32 s = 640 meters.
Calculate the Length of the Platform:
Platform Length = Total Distance - Train Length = 640 meters - 280 meters = 360 meters.