Train Length 7E14A0
1. **State the problem:** A train passes a station 120 m long at a speed of 180 km/h and takes 7 seconds to pass completely. We need to find the length of the train.
2. **Formula and concepts:** The total distance covered by the train while passing the station is the sum of the length of the train ($L$) and the length of the station (120 m).
3. **Convert speed to m/s:** Speed in m/s = $\frac{180 \times 1000}{3600} = 50$ m/s.
4. **Use the formula for distance:** Distance = Speed $\times$ Time.
5. **Calculate total distance:** Total distance = $50 \times 7 = 350$ m.
6. **Find the length of the train:** $L + 120 = 350 \Rightarrow L = 350 - 120 = 230$ m.
**Final answer:** The length of the train is $230$ meters.