Calculation of Average Speed of the Train

To calculate the average speed of the train, we need to consider the total distance traveled by the train and the total time taken to cover that distance. We can break down the journey of the train into three parts:

Part 1: The train travels at a speed of 60km/h for 0.52 hours.

Distance covered in Part 1: 60km/h x 0.52h = 31.2km

Part 2: The train travels at a speed of 30km/h for the next 0.24 hours.

Distance covered in Part 2: 30km/h x 0.24h = 7.2km

Part 3: The train travels at a speed of 70km/h for the next 0.7 hours.

Distance covered in Part 3: 70km/h x 0.7h = 49km

Total Distance Covered: 31.2km + 7.2km + 49km = 87.4km

Total Time Taken: 0.52h + 0.24h + 0.7h = 1.46h

Average Speed of the Train: Total Distance Covered / Total Time Taken = 87.4km / 1.46h = 59.86km/h

Therefore, the average speed of the train is 59.86km/h.

Explanation of Average Speed Calculation

Average speed is the total distance covered by an object divided by the total time taken to cover that distance. In this case, we have calculated the average speed of the train by adding up the distance covered in each part of the journey and dividing it by the total time taken to cover that distance.

We have used the formula:

Average Speed = Total Distance Covered / Total Time Taken

We have calculated the distance covered in each part of the journey using the formula:

Distance = Speed x Time

We have then added up the distances covered in each part to get the total distance covered by the train. We have added up the time taken in each part of the journey to get the total time taken by the train. Finally, we have divided the total distance covered by the total time taken to get the average speed of the train.

Therefore, we can say that the average speed of the train is the overall rate at which the train has covered the distance, taking into account the varying speeds at different parts of the journey.