Question

The scale of a map is 6 km = 4 cm. The actual distance is 40 km. Find the distance on the map.

Answer 1

Answer:

The answer must be 26.6 cm.

Step-by-step explanation:

If 4 cm = 6 km

then X cm = 40 km.

Now by cross multiplication

6x = 160

x = 160/6

so, x = 26.6

Answer 2

Given,

Scale of the map :

6 km = 4 cm

An actual distance is = 40 km

To find,

Distance on the map, for the given actual distance.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Now, we have to calculate the RF.

So,

RF = Distance on map / Actual distance = 4 cm / 6 km = 4cm / 600000cm = 1 / 150000

Now, for the given actual distance, the distance on map will be :

= Actual distance × RF

= 40 km × 1/150000

= (4000000 × 1/150000) cm

= 26.66 cm

Hence, the distance on map will be 26.66 cm