On the map, the distance between cities A and B is 5 cm. Find the scale of the map.

On the map, the distance between cities A and B is 5 cm. Find the scale of the map. If on the ground this distance corresponds to 25 km.

First, we need to recall the relationship between the lengths mentioned in the text of the given assignment – kilometers and centimeters:

1 km = 1000 m;
1 m = 100 cm.

Then:

1 km = (1000 * 100) cm = 100,000 cm.

Therefore, it is now possible to convert the actual distance between cities A and B to centimeters:

25 km = (25 * 100,000) cm = 2,500,000 cm.

This means that a 5 cm map represents the distance, which in reality is 2,500,000 cm.

2,500,000: 5 = 500,000.

Then the scale of the map:

1: 500,000.