In a map, a distance of 10 km on land is equal to 110 cm. If two places are 512 cm apart on the map, then what is the actual distance between them?
550 km
Let 512 cm represent x km.
Now the problem reduces to 110 cm:10 km::512 cm:x km
i.e., 11010=512x
⟹1100=112x
Thus, x=11×1002 = 550 km