To solve the problem, we need to determine how far Rambo ran in miles, given that Rambo's distance includes an additional 4 furlongs beyond Milo's distance of [tex]\(\frac{3}{4}\)[/tex] mile.
Here are the steps to solve this problem:
1. Convert Milo's Distance to Miles:
Milo has run [tex]\(\frac{3}{4}\)[/tex] mile.
2. Understanding the Additional Distance in Furlongs:
We know that Rambo ran 4 furlongs farther than Milo. To convert furlongs to miles, we use the given conversion factor that 1 mile is equal to 8 furlongs.
3. Convert Furlongs to Miles:
To find the additional distance in miles that Rambo ran, we convert 4 furlongs to miles:
[tex]\[
\text{Additional distance in miles} = \frac{4 \text{ furlongs}}{8 \text{ furlongs per mile}} = \frac{1}{2} \text{ mile}
\][/tex]
4. Calculate Rambo's Total Distance:
Now, we add the additional [tex]\(\frac{1}{2}\)[/tex] mile to Milo's distance of [tex]\(\frac{3}{4}\)[/tex] mile:
[tex]\[
\text{Rambo's total distance} = \frac{3}{4} \text{ mile} + \frac{1}{2} \text{ mile}
\][/tex]
To add these, we find a common denominator:
[tex]\[
\frac{3}{4} + \frac{1}{2} = \frac{3}{4} + \frac{2}{4} = \frac{5}{4} = 1 \frac{1}{4} \text{ miles}
\][/tex]
So, Rambo ran a total distance of [tex]\(1 \frac{1}{4}\)[/tex] miles.
Therefore, the correct answer is [tex]\(A. \ 1 \frac{1}{4}\)[/tex].
