Answer
Choice G
Work Step by Step
Let $n$ be the miles she drove in $2$ hours. The conditions of the problem translate to the proportion,
\begin{align*}\require{cancel}
\dfrac{75}{3}&=\dfrac{n}{2}
.\end{align*}
Using cross products and the properties of equality, the proportion above is equivalent to
\begin{align*}
75(2)&=3(n)
\\\\
\dfrac{75(2)}{3}&=n
\\\\
\dfrac{\cancel{75}^{25}(2)}{\cancel3^1}&=n
&\text{ (divide by $3$)}
\\\\
\dfrac{25(2)}{1}&=n
\\\\
50&=n
.\end{align*}
The miles, $n,$ that she drove in $2$ hours is $50$ miles.
Hence, the answer is Choice G.
