To find the distance traveled by train, we need to subtract the distance traveled by bus from the total distance covered.
Given: Total distance traveled = 285 km Time taken = 6 hours Speed of the bus = 40 km/h Speed of the train = 55 km/h
Let's calculate the distance traveled by bus first: Distance = Speed × Time Distance traveled by bus = 40 km/h × (time taken for the bus part)
The time taken for the bus part can be calculated by dividing the distance traveled by the bus by the speed of the bus: Time taken for the bus part = Distance traveled by bus / Speed of the bus
Now, we can calculate the distance traveled by bus: Distance traveled by bus = 40 km/h × (Distance traveled by bus / Speed of the bus)
Next, we can find the distance traveled by train by subtracting the distance traveled by bus from the total distance: Distance traveled by train = Total distance traveled - Distance traveled by bus
Let's plug in the values and calculate:
Distance traveled by bus = 40 km/h × (Distance traveled by bus / 40 km/h) Distance traveled by bus = Distance traveled by bus
Total distance traveled = Distance traveled by bus + Distance traveled by train
285 km = Distance traveled by bus + Distance traveled by train
Since the distance traveled by bus is canceled out, we have:
285 km = Distance traveled by train
Therefore, the distance traveled by train is 285 km.