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

Question

What is the distance between the villages on the map?

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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.