Question: The scale of a map is 1 cm : 25 km. If the distance between two landmarks on the map is 8 cm, what is the actual distance between them?
1. **State the problem:** We are given a map scale of $1$ cm representing $25$ km in reality. The distance between two landmarks on the map is $8$ cm. We need to find the actual distance between these landmarks.
2. **Formula used:** Actual distance $=$ Map distance $\times$ Scale factor
3. **Apply the formula:**
$$\text{Actual distance} = 8 \text{ cm} \times 25 \text{ km/cm}$$
4. **Calculate:**
$$\text{Actual distance} = 8 \times 25 = 200 \text{ km}$$
5. **Answer:** The actual distance between the two landmarks is $200$ km.