Question

the scale on a map is 1:500,000. Two towns are 7 cm apart on the map. Work out the actual distance between the towns

Answer 1

Answer:

the actual distance between two towns = 10500000

Step-by-step explanation:

Given scale on the map  is 1 : 500000

from given data we can  write 1 cm = 500000

the distance between  two towns  is 7 cm

from the above data we know that  1 cm = 1500000

the actual distance between two towns  = 1500000 × 7

                                               = 3500000     

Answer 2

Answer:

The actual Distance between two town is 3,500,000 cm (35km).  

Step-by-step explanation:

Given;

The scale is 1 :500000

Using the direct ratio for the information

1 cm in actual distance = $\frac{1}{500000}$ = $\frac{1cm}{actual distance}$

therefore, actual distance of 1 cm  = 1 x 500,000 = 500,000 cm

Similarly;

7 cm in actual distance= $\frac{1}{500000}$ = $\frac{7}{actual distance}$

actual distance of 7 cm = 7 x 5,00,000 = 3,500,000 cm

Hence The actual Distance between two town is 3,500,000 cm (35km).