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.
What is the distance between the villages on the map?
Enter your answer in the box.
Answers
GPT-4o mini
To determine the distance between the two villages on the map, we can use the scale provided:
The scale states that 0.5 centimeters represents 2 kilometers.
First, we find out how many kilometers are represented by 1 centimeter:
1 centimeter represents \( \frac{2 \text{ km}}{0.5 \text{ cm}} = 4 \text{ km/cm} \).
Now, if the actual distance between the two villages is 120 kilometers, we can find the distance on the map by dividing the actual distance by the number of kilometers that each centimeter represents:
\[
\text{Distance on the map (cm)} = \frac{\text{Actual distance (km)}}{\text{Distance represented by 1 cm (km/cm)}} = \frac{120 \text{ km}}{4 \text{ km/cm}} = 30 \text{ cm}.
\]
Thus, the distance between the villages on the map is:
\[
\boxed{30 \text{ cm}}.
\]
The scale states that 0.5 centimeters represents 2 kilometers.
First, we find out how many kilometers are represented by 1 centimeter:
1 centimeter represents \( \frac{2 \text{ km}}{0.5 \text{ cm}} = 4 \text{ km/cm} \).
Now, if the actual distance between the two villages is 120 kilometers, we can find the distance on the map by dividing the actual distance by the number of kilometers that each centimeter represents:
\[
\text{Distance on the map (cm)} = \frac{\text{Actual distance (km)}}{\text{Distance represented by 1 cm (km/cm)}} = \frac{120 \text{ km}}{4 \text{ km/cm}} = 30 \text{ cm}.
\]
Thus, the distance between the villages on the map is:
\[
\boxed{30 \text{ cm}}.
\]