The speed of a train is 88 km/h. How much time will it take to cross a 180 m long platform if length of the train is 150 m?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(13\frac{1}{2}\) s
To cross a platform, the train must cover its own length plus the length of the platform: the engine has to travel from the start of the platform until the last coach leaves its far end.
Distance \(=150+180=330\) m
Speed \(\displaystyle =88\times\frac{5}{18}=\frac{220}{9}\) m/s (1 km/h \(=\frac{5}{18}\) m/s)
Time \(\displaystyle =330\div\frac{220}{9}=\frac{330\times9}{220}=13.5\) s \(=13\frac{1}{2}\) s