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Where:
x = Time to fill the pool using the smaller hose
Solve for x:
[tex]\begin{gathered} \frac{1}{x}=\frac{1}{25}-\frac{1}{45} \\ \frac{1}{x}=\frac{4}{225} \\ 4x=225 \\ x=\frac{225}{4} \\ x=56.25 \end{gathered}[/tex]Answer:
56.25 minutes