1. **State the problem:** A car and a van start moving from city K to city H at the same time. The car's average speed is 110 km/h, and the van's average speed is 90 km/h. We need to find the distance between the car and the van after 45 minutes. 2. **Formula used:** Distance traveled = Speed \times Time 3. **Convert time to hours:** Since speeds are in km/h, convert 45 minutes to hours: $$45 \text{ minutes} = \frac{45}{60} = 0.75 \text{ hours}$$ 4. **Calculate distances traveled:** - Car distance: $$110 \times 0.75 = 82.5 \text{ km}$$ - Van distance: $$90 \times 0.75 = 67.5 \text{ km}$$ 5. **Find the distance between the car and the van:** Since both start at the same point and move in the same direction, the distance between them is the difference in distances traveled: $$82.5 - 67.5 = 15 \text{ km}$$ **Final answer:** The car is 15 km ahead of the van after 45 minutes.