To find the average speed of the train, we need to calculate the total distance traveled and the total time taken during the entire journey.
1. **First Segment:** The train travels at a speed of 60 km/h for 0.52 hours.
Distance = Speed × Time = 60 km/h × 0.52 h = 31.2 km
2. **Second Segment:** The train travels at a speed of 30 km/h for 0.24 hours.
Distance = Speed × Time = 30 km/h × 0.24 h = 7.2 km
3. **Third Segment:** The train travels at a speed of 70 km/h for 0.71 hours.
Distance = Speed × Time = 70 km/h × 0.71 h = 49.7 km
Now, let’s find the total distance and the total time.
Total Distance: 31.2 km + 7.2 km + 49.7 km = 88.1 km
Total Time: 0.52 h + 0.24 h + 0.71 h = 1.47 h
Finally, we can calculate the average speed:
Average Speed = Total Distance / Total Time
Average Speed = 88.1 km / 1.47 h ≈ 59.9 km/h
So, the average speed of the train is approximately 59.9 km/h.