- 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.
