Question

If you measure 3cm’s on the map from your house to your work and the scale is 1:250,000, how far in km’s is it from your house to your work in real life?

Answer 1

1:250,000 means that 1 cm on map contains 250,000 cm in real life. So, 3 sm on map is 3 times by 250,000 cm, which is

$$3\cdot250000=750000\text{ cm}.$$

We know that 1 meter is 100 cm. So, the distance in meters is 7500 m.

Since 1000 m is 1 km, the distance is 7.5 km.