15 seconds after the buzzer, the teacher still has 135 meters to go to the finish line. 32 seconds after he left the starting line, the teacher has only 50 meters more to run. 22 seconds after the buzzer, Usain is 189 meters from the finish line. 36 seconds after the buzzer, h...

To solve this problem, we need to determine the speeds at which the teacher and Usain are running. Let's break down the information given in the question:

1. The teacher:
- 15 seconds after the buzzer, the teacher has 135 meters left.
- 32 seconds after leaving the starting line, the teacher has 50 more meters to run.

2. Usain:
- 22 seconds after the buzzer, Usain is 189 meters away from the finish line.
- 36 seconds after the buzzer, Usain has finished the race.

Now, let's calculate the average speed for each individual:

1. The teacher's average speed:
- In the first 15 seconds, the teacher covers 135 meters.
- Therefore, the teacher's speed is calculated as 135 meters / 15 seconds = 9 meters per second.
- In the next 17 seconds (32 - 15 = 17), the teacher covers 50 more meters.
- So, the teacher's speed during this period is 50 meters / 17 seconds = 2.94 meters per second.

2. Usain's average speed:
- In the first 22 seconds, Usain covers 189 meters.
- Therefore, Usain's speed is calculated as 189 meters / 22 seconds = 8.59 meters per second.
- In the next 14 seconds (36 - 22 = 14), Usain finishes the race.

Now, we have the average speeds for both the teacher and Usain.