Answer:
[tex]x = \frac{1}{40}[/tex]
Explanation:
Given
[tex]\frac{1}{5} = 1\ mile[/tex]
Required
How long to fly [tex]\frac{1}{8} \ mile[/tex]
Represent the required parameter with x
i.e.
[tex]x = \frac{1}{8}\ mile[/tex]
Recall that
[tex]\frac{1}{5} = 1\ mile[/tex]
So: we have:
[tex]\frac{1}{5} = 1\ mile[/tex]
[tex]x = \frac{1}{8}\ mile[/tex]
Cross Multiply
[tex]x * 1\ mile = \frac{1}{5} * \frac{1}{8}\ mile[/tex]
[tex]x = \frac{1}{5} * \frac{1}{8}[/tex]
[tex]x = \frac{1}{40}[/tex]
Hence;
It'll take the butterfly [tex]\frac{1}{40}[/tex] in a mile
