Question

If 1 kilometer is equal to 1 centimeter on the map, what is the distance in km between two cities that are 7.5 cm apart? Scale 1:20 000

Answer 1

7.5 too, its kinda of ratio, 1cm : 1Km to 7.5cm : x
x will be equal 7.5 km

Answer 2

Answer:

The actual distance between two cities is 7.5 km.

Explanation:

It is given that 1 kilometer is equal to 1 centimeter on the map.

The ratio of actual distance and distance in map is 1 km : 1 cm.

$\frac{\text{Actual distance}}{\text{Distance in map}}=\frac{1}{1}$

We need to find the distance in km between two cities that are 7.5 cm apart.

Let the actual distance between 2 cities by x km.

The ratio of actual distance and distance in map is x km : 7.5 cm.

$\frac{\text{Actual distance}}{\text{Distance in map}}=\frac{x}{7.5}$

The ratio of actual distance and distance in map are equivalent.

$\frac{x}{7.5}=\frac{1}{1}$

On cross multiplication, we get

$x=7.5$

Therefore the actual distance between two cities is 7.5 km.