Question

A map drawn with a scale of 1 cm represents 26 km. If the original distance between two stations 1404 km., then what would be the distance between the stations in the map?

Answer 1

We know that if the distance in the map increases the original distance also increases such that the ratio of distance in the map end ratio of their original distance will remain the same. That means here the distance in map and original distance are in proportion.

Distance 26 km scale represented in the map = 1 cm. 

Let the distance 1404 km in the map be equal to x cm. 

Then, 26 : 1404 = 1 : x

If the ratio are equal, the product of means = the product of the extremes 

⇒ 26 × x = 1404 × 1

⇒ 26x/26 = 1404/26

⇒ x = 54 cm 

∴ Distance 1404 km between the stations in the map = 54 cm.