Question

The actual distance between two villages is 120 kilometers. On a map of the area, 0.5 centimeter represents 2 kilometers.

What is the distance between the villages on the map?

Enter your answer in the box.

cm

Answer 1

To find the distance between the villages on the map, we can set up a proportion using the information given.

1. We know that 0.5 centimeters on the map represents 2 kilometers in reality.
2. To find out how many centimeters on the map represent 120 kilometers, we can use the proportion:

\[
\text{Distance on map} = \frac{0.5 \text{ cm}}{2 \text{ km}} \times 120 \text{ km}
\]

Now we can calculate:

\[
\text{Distance on map} = 0.5 \text{ cm} \times \frac{120 \text{ km}}{2 \text{ km}}
\]

\[
\text{Distance on map} = 0.5 \text{ cm} \times 60
\]

\[
\text{Distance on map} = 30 \text{ cm}
\]

Thus, the distance between the villages on the map is **30** cm.