To solve this problem you must apply the proccedure shown below:
1. You have that she walks 1/9 of a mile in 1/54 of an hour, Therefore, to calculate the time that will take her to walk 9 miles, you need to multiply 9 miles by 1/54 and divide the result by 1/9.
2. Let's say that [tex]t[/tex] is the time:
[tex]t=\frac{(9)(\frac{1}{54}) }{\frac{1}{9}} =\frac{\frac{9}{54} }{\frac{1}{9} } =\frac{3}{2}[/tex]
Therefore, the answer is: 3/2 of an hour.