Maths-

General

Easy

Question

# The scale of a map is 1: 3 x 10^{7} . Two cities are 5 cm apart on the map. Find the actual distance between them in kilometres?

Hint:

**Hint:**

The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground. For example, a scale of 1: x represents 1 unit of the map is equal to x units on the ground.

## The correct answer is: 1500 km

### Given the scale of the map as 1 : 3 x 10^{7}, which means that 1 cm of the map is equal to 3 x 10^{7} cm of the ground.

We are asked the actual distance between two cities if they are 5 cm apart on the map.

1 cm of the map = 3 x 10^{7} cm on ground

5 cm of the map = 5 × 3 x 10^{7} cm on ground

= 15 x 10^{7} × 10^{-5} km on ground

= 1500 km on ground

Final Answer:

Hence, the actual distance between the two cities is 1500 km.

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