The distance between cities on the map is 7.5 cm. Find the distance between cities on the terrain

The distance between cities on the map is 7.5 cm. Find the distance between cities on the terrain if the map scale is 1: 20000000.

The scale on the map gives an idea of how the actual distance between points A and B and their corresponding objects on the map are related. Therefore, if the scale is 1 / 20,000,000, this means that 1 cm on the map has 20,000,000 cm of real area.

Let’s make a proportion. Let x be the real distance between cities.

7.5 / x = 1/20000000.

Let us express x:

x = 7.5 * 20,000,000 / 1 = 7.5 * 20,000,000 = 150,000,000 cm or 1,500 km.

Answer: The distance between cities is 150,000,000 cm or 1,500 km.