Question

A map is to be drawn for two cities which are 40 km apart. A scale of 1cm : 1000 m is used. What is the distance between the two cities in cm on the map?

• A. 40 cm
• B. 20 cm
• C. 60 cm
• D. 100 cm

Answer 1

The correct option is A 40 cm

Scale of the map = 1cm : 1000m

Distance between the two cities
= 40 km = 40,000 m
let, the distance on map be c cm

Since the given data is in proportion, we have
1 : 1000 :: c : 40000
Product of means = Product of extremes
$\Rightarrow$ 1000 $\times$ c = 1 $\times$ 40000
$\Rightarrow$ c = $\frac{40000}{1000}$ = 40
So, the distance between the two cities on the map is 40 cm.