Map Distance
1. The problem states that the map scale is 1:4,000,000, meaning 1 cm on the map represents 4,000,000 cm in reality.
2. The distance between two cities on the map is 5 cm.
3. To find the actual distance, multiply the map distance by the scale factor:
$$\text{Actual distance} = 5 \text{ cm} \times 4,000,000 = 20,000,000 \text{ cm}$$
4. Convert cm to km. Since 100 cm = 1 m and 1000 m = 1 km, then 100,000 cm = 1 km:
$$\text{Actual distance in km} = \frac{20,000,000}{100,000} = 200 \text{ km}$$
5. Therefore, the actual distance between the two cities is 200 km.