On the map, the distance from the village A to the station is 2.5 cm, and from the village B to the station 3 cm.

On the map, the distance from the village A to the station is 2.5 cm, and from the village B to the station 3 cm. In reality, from the village A to the station it is 7.5 km. What is the actual distance from the village B to the station?

1. Let’s calculate the scale of the map, dividing the distance from the village A to the station on the ground by the same distance on the map, we get:
7.5 km / 2.5 cm = 7,500 m / 0.025 m = 300,000.
2. We got a map scale equal to 1: 300000. Then we calculate the actual distance between the station and the village B, increasing this distance on the map by 300000 times, we get:
3 cm * 300000 = 0.03 m * 300000 = 9000 m = 9 km.
Answer: the distance between the village B and the station is 9 km.