The scale of a map is given as 1 : 80000000. Two places A and B on the map are 3 cm apart. What is the actual distance between A and B? If C and D are at a distance of 3200 km, then find the distance between them on map?

Solution

Given: scale of map = 1 : 80000000
Thus, 1 unit on map shows 80000000 units in the real world.
If A and B are 3 cm apart on map,
Actual distance = 3cm × 80000000
= 240000000
= 2400 km
If C and D are at a distance of 32km apart, then
3200km = 3200 × 1000 × 100cm
= 320000000 cm
Therefore, on the map it should be =320000000\80000000 = 4cm