A train running at a speed of 54 km/hr crosses a platform which is double of the length of the train in 18 seconds. What is the length of the platform and train?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 180 m and 90 m
To cross a platform, a train must cover its own length plus the length of the platform. Let the train be \(L\) m long; the platform is then \(2L\) m.
Speed \(\displaystyle =54\times\frac{5}{18}=15\) m/s
Distance covered in 18 s \(=15\times18=270\) m
\(L+2L=270\), so \(3L=270\) and \(L=90\) m
Platform \(=2\times90=180\) m
The question asks for the platform first and then the train: 180 m and 90 m.