A jogger completes a run in 45.0 minutes with an average speed of 1.75 m/s and an average velocity of 0.0 m/s. The jogger's run had three segments: a warm-up, in which the jogger ran at a constant rate of 1.25 m/s for 10.0 minutes; a moderate run at an unknown constant rate; and a sprint, in which the jogger ran 100.0 meters in 21 seconds.
What was the jogger's speed during the moderate run?