Town Town Actual Distance Between Towns

Bellstown Lewis City 120 km
Bellstown Jenkinsville 40 km
Jenkinsville Lewis City 60 km
Arturo creates a scale drawing showing these distances. If the distance between Lewis City and Bellstown is 6 centimeters on his drawing, how far apart are Lewis City and Jenkinsville on Arturo’s drawing?

1 answer

First, we determine the scale used in Arturo's drawing. We know that the actual distance between Bellstown and Lewis City is 120 km, and in the drawing, this distance is represented as 6 cm.

To find the scale, we can set up the following ratio:

\[ \text{Scale} = \frac{\text{Distance on drawing}}{\text{Actual distance}} = \frac{6 \text{ cm}}{120 \text{ km}} \]

Next, we simplify this:

\[ \text{Scale} = \frac{6 \text{ cm}}{120 \text{ km}} = \frac{1 \text{ cm}}{20 \text{ km}} \]

Now that we have the scale, we can find the distance between Jenkinsville and Lewis City on Arturo's drawing. The actual distance between Jenkinsville and Lewis City is 60 km. We can convert this distance to the drawing scale:

Using the scale we derived:

\[ \text{Distance on drawing} = \frac{60 \text{ km}}{20 \text{ km/cm}} = 3 \text{ cm} \]

Thus, the distance between Lewis City and Jenkinsville on Arturo’s drawing is 3 centimeters.