Question

The scale on a map is 1 cm for every 400 km. If Maine and Japan are 26 cm apart on the map, what is the distance between Maine and Japan? -------KM

Answer 1

Hello! We can solve this exercise using the rule of three.

First, let's write what we already know:

• 1 cm = 400km

,

• 26 cm = x km

Now, let's write it as two directly proportional quantities:

$\begin{gathered} \frac{1}{26}=\frac{400}{x} \\ \\ \text{multiplying cross} \\ 1\cdot x=26\cdot400 \\ x=10400\operatorname{km} \end{gathered}$

So, the distance between Maine and Japan is 10400km.