- On a scale of map 0.6 cm represents 6.6 km.

- If the distance between the points on the map is 80.5 cm, the actual distance between these points can be figure out in this way.

## Explanation

Two given entities here are

- Distance on Map
- Actual Distance

To determine the relation here, let suppose; the actual distance between the points = y

__Case__

As we know that;

Distance on Map Actual Distance

0.6 cm 6.6 km

80.5 cm y

- Actual distance increases when distance on map increases.
- Actual distance decreases when distance on map decreases.

This clearly indicates that there is direct relation.

Direct/Indirect relation tells how the equation will be written.

0.6 : 80.5 :: 6.6 : y ________ (A)

After simplifying equation (A), we can easily figure out the value of y (y = 885.5 km)

## To Find

The actual distance between the points = y

## Solution

__Method I__

Let suppose

The actual distance between the points = y

Distance on Map Actual Distance

0.6 cm 6.6 km

80.5 cm y

Relation between distance on map and actual distance is direct, so;

0.6 : 80.5 :: 6.6 : y

0.6 x y = 80.5 x 6.6

0.6y = 531.3

y = 531.3/0.6

y = 885.5 km

**The actual distance between the points = 885.5 km answer**

__Method II__

0.6 cm on map represents = 6.6 km

1 cm on map represents = 6.6 / 0.6

1 cm on map represents = 11 km

80.5 cm on map represents = 11 x 80.5

80.5 cm on map represents = 885.5 km

**The actual distance between the points = 885.5 km answer**

## Conclusion

On a scale of map 0.6 cm represents 6.6 km. If the distance between the points on the map is 80.5 cm, the actual distance between these points is 885.5 km. So, required answer is 885.5 km.