The scale of a map is 1: 3 x 10⁷ . Two cities are 5 cm apart on the map. Find the actual distance between them in kilometres?

The correct answer is: 1500 km

Given the scale of the map as 1 : 3 x 10⁷, which means that 1 cm of the map is equal to 3 x 10⁷ 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 10⁷ cm on ground
5 cm of the map = 5 × 3 x 10⁷ cm on ground
= 15 x 10⁷ × 10^-5 km on ground
= 1500 km on ground
Final Answer:
Hence, the actual distance between the two cities is 1500 km.