Question

On a map of a town, 3 cm represents 150 m.

Two points in the town are 1 km apart.
How far apart are the two points on the map?

Answer 1

20cm

Explanation:

We know that on the map, 3 cm represents 150 m.

To find how far apart two points are on the map when they are 1 km (1000 m) apart in reality, we can set up a proportion using the given scale:

(3 cm) / (150 m) = (x cm) / (1000 m)

We can cross-multiply and solve for x:

3 cm * 1000 m = 150 m * x cm

3000 cm * m = 150 m * x cm

The unit "m" cancels out, leaving us with:

3000 cm = 150 * x cm

Divide both sides by 150 cm:

3000 cm / 150 cm = x

20 = x

Therefore, the two points are 20 cm apart on the map.