The train, moving evenly at a speed of 63 km / h, passes the station building, the length of which is 150

The train, moving evenly at a speed of 63 km / h, passes the station building, the length of which is 150 meters, in one minute. Find the length of the train in meters.

1. Station length: Lв = 150 m;
2. The train passes by the station building in: TV = 1 min;
3. Train speed: V = 63 km / h = (63 * 1000) / 60 = 1050 m / min;
4. Train length: Lп;
5. When the train starts to pass by the station, let’s designate this moment as Тн;
6. When the last carriage of the train leaves the station, this moment is Tk;
7. Tk – Tn = Tv = 1 min;
8. We get the formula for the train travel time past the station:
(Lp + Lv) / V = Tk – Tn;
Lp + Lv = TV * V;
Lp = TV * V – Lv = 1 * 1050 – 150 = 900 m.
Answer: the length of the train is 900 meters.