Final answer:
The speed of the train is calculated by summing the length of the train and the station, and dividing by the time it takes to pass through. After converting the result from m/s to km/h, we find that the correct speed is 108 km/h, which is not listed as any of the provided options.
Step-by-step explanation:
To calculate the speed of the train in km/h, we first need to determine the total distance the train travels while passing completely through the station. Since the train itself is 105m long and the station is 225m long, the total distance the train covers is the sum of these lengths:
Distance = Length of train + Length of station = 105m + 225m = 330m
Next, we use the time given to find the speed in meters per second:
Speed (in m/s) = Distance / Time = 330m / 11s = 30 m/s
Now, we will convert this speed to kilometers per hour (km/h):
Speed (in km/h) = Speed (in m/s) × (3600s / 1h) × (1km / 1000m) = 30 × 3.6 = 108 km/h
Therefore, none of the options a), b), c) or d) are correct. The speed of the train is 108 km/h.