Step-by-step explanation:
To find the average speed of the train, we can use the formula:
average speed = total distance / total time
To find the total distance, we need to calculate the distance traveled during each segment of the trip:
- Distance traveled at 60 km/h for 0.52 hours = 60 km/h * 0.52 h = 31.2 km
- Distance traveled at 30 km/h for 0.24 hours = 30 km/h * 0.24 h = 7.2 km
- Distance traveled at 70 km/h for 0.71 hours = 70 km/h * 0.71 h = 49.7 km
Total distance = 31.2 km + 7.2 km + 49.7 km = 88.1 km
To find the total time, we simply add up the times for each segment:
Total time = 0.52 h + 0.24 h + 0.71 h = 1.47 hours
Now we can use the formula to find the average speed:
average speed = total distance / total time = 88.1 km / 1.47 h ≈ 59.86 km/h
Therefore, the average speed of the train is approximately 59.86 km/h.