A train X metres long running at a speed of 57 metres/second crosses a railway…
2025
A train X metres long running at a speed of 57 metres/second crosses a railway platform in 14 seconds. Find the value of X, if the length of the railway platform is 375 metres.
- A.
414
- B.
415
- C.
428
- D.
423
Attempted by 2 students.
Show answer & explanation
Correct answer: D
Concept: When a train crosses a stationary object such as a platform, the total distance covered by the train equals the sum of the train's own length and the platform's length. This distance covered equals Speed × Time (Distance = Speed × Time).
Distance covered while crossing the platform = Speed × Time = 57 × 14 = 798 metres.
This distance covered equals the length of the train (X) plus the length of the platform: X + 375 = 798.
Solving for X: X = 798 − 375 = 423.
Cross-check: Substituting back, total distance = 423 + 375 = 798 metres, and 798 ÷ 14 = 57 metres/second, which matches the given speed of 57 metres/second.
Hence, X = 423 metres.