Question

a map is scaled in the ratio 1 : 2000000 . if it shows the distance between cities as 2.5 cm , what is actual distance between the two cities​

Answer 1

$\frac{1}{2000000} = \frac{2.5}{x} \\ = > x = 2.5 \times 2000000cm \\ = > x = 2.5 \times 2km \\ x = 5km$

This is your answer.

Answer 2

The actual distance between the two cities is 5000000.

Step-by-step explanation:

Let the map distance be 'x' cm and the actual distance be 'y' cm, then we have,

                       Map distance [x]                      Actual Distance [y]

                               1                                                2.5

                         2000000                                  $y_{1}$

∴          $\frac{1}{2000000} = \frac{2.5}{y_{1} }$

            $y_{1} = (2.5) (2000000)\\y_{1} = 5000000$

Hence the actual distance between two cities is 5000000.