Solution
It is given that
9 taps can fill a tank in 4 hours
[tex]\begin{gathered} \Rightarrow9t=4h \\ \Rightarrow12t=x \\ \\ \Rightarrow9t\times x=12t\times4h \\ \\ \Rightarrow x=\frac{12t\times4h}{9t}=\frac{12}{9}\times4=\frac{16}{3}h \end{gathered}[/tex]Therefore, it will take 16/3 hours for it to fill 12 taps.