Question

A map has a scale of 1 cm to 14 km.

On the map, the distance between Manchester and London is 18.8 cm.

What is the real distance, in km, between Manchester and London?

Answer 1

Real distance between Manchester and London = 263.2 km

Explanation:

Given that:

A map has a scale of 1 cm = 14 km

Ratio = 1 : 14

Distance from Manchester to London = 18.8 cm

Let,

x be the real distance between Manchester and London.

Ratio = 18.8 : x

As the relationship is proportional,

1 : 14 :: 18.8 : x

Product of mean = Product of extreme

14*18.8 = x

x = 263.2 kilometers

Hence,

Real distance between Manchester and London = 263.2 km