Final answer:
The average speed of the runner for the race is approximately 5.42 m/s.
Step-by-step explanation:
To find the average speed of the runner, we need to add up the distances and the times for each segment of the race. The first segment is 400m in 80s, the second segment is 400m in 70s, and the final segment is 800m in 145s. Adding these up gives us a total distance of 1600m and a total time of 295s.
To calculate average speed, we divide the total distance by the total time: average speed = total distance / total time.
So, average speed = 1600m / 295s. Calculating this gives us an average speed of approximately 5.42 m/s.