Question

the scale of a map is 1 cm: 75 km what is the actual distance between two towns that are 3 cm apart on the map?

Answer 1

The distance between the two towns is 225 km.

Explanation:

We are given the following information in the question:

The scale of map is:

`1\text{ cm}:75\text{ km}`

This means that a distance of 1 cm on map marks a distance of 75 km in reality,

We have to find the distance between two towns.

Distance between two towns on the map = 3 cm

Distance between towns =

We could use the concept of ratio to solve this problem:

`\displaystyle(1)/(75) = (3)/(d)\\\\\text{whered is the distance between the two towns}\\\Rightarrow d = 3* 75 = 225`

Hence, the distance between the two towns is 225 km.