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.
