Final answer:
The teacher's speed is 3 m/s, which is calculated by dividing the total distance of 150 m by the total time of 50 s.
Step-by-step explanation:
The speed of the teacher can be calculated by dividing the total distance traveled by the total time taken to cover that distance. The teacher first walks 50 m down the hall and then turns around to walk 100 m up the hall, covering a total distance of 150 m. The time taken to cover this distance is 50 s. To find the speed, use the formula speed = distance/time.
Speed = 150 m / 50 s = 3 m/s.
Therefore, the teacher's speed in the hall is 3 meters per second (m/s).