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

The actual distance between two cities is 7.5 km.

Step-by-step 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}}=(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}}=(x)/(7.5)`

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

`(x)/(7.5)=(1)/(1)`

On cross multiplication, we get

`x=7.5`

Therefore the actual distance between two cities is 7.5 km.