To solve this problem, we need to determine the scale used by Arturo for his drawing. We know that the actual distance between Lewis City and Bellstown is 120 km, and in the drawing, this distance is represented as 6 centimeters.
First, we can find the scale:
- The scale ratio is \( \text{actual distance} : \text{drawing distance} = 120 , \text{km} : 6 , \text{cm} \).
Now, we can convert 120 km to centimeters to match the units:
1 km = 100,000 cm, so: 120 km = 120,000 cm.
Thus, the scale becomes: \( 120,000 , \text{cm} : 6 , \text{cm} \).
Next, we simplify this ratio: \[ \frac{120,000}{6} = 20,000. \]
This means that 1 cm on the drawing represents 20,000 cm in actual distance.
Now we need to find the distance between Jenkinsville and Lewis City, which is given as 60 km. First, we convert 60 km to centimeters: 60 km = 60,000 cm.
Now, we apply the scale to find the distance in the drawing: \[ \text{Drawing distance} = \frac{\text{actual distance}}{\text{scale factor}} = \frac{60,000 , \text{cm}}{20,000} = 3 , \text{cm}. \]
Therefore, the distance between Lewis City and Jenkinsville on Arturo’s scale drawing is 3 centimeters.
So, the answer is: 3 centimeters.