1. The problem states that a van travels a distance of 258.75 meters in 11.5 seconds, and we need to find its speed. 2. The formula for speed is given by: $$\text{speed} = \frac{\text{distance}}{\text{time}}$$ 3. Substitute the given values into the formula: $$\text{speed} = \frac{258.75}{11.5}$$ 4. Perform the division: $$\text{speed} = 22.5$$ 5. Therefore, the speed of the van is 22.5 meters per second.