Solution:
Let the required number of days bex.
Less persons, More days (Indirect Proportion)
More working hours per day, Less days (Indirect Proportion)
\[\left. \begin{gathered}
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{Persons }}\,30:39 \hfill \\
{\text{Working hour/day }}\,{\text{6}}:{\text{5}} \hfill \\
\end{gathered} \right\}::12:x\]
$$\eqalign{
& \therefore 30 \times 6 \times x = 39 \times 5 \times 12 \cr
& \Rightarrow x = \frac{{ {39 \times 5 \times 12} }}{{ {30 \times 6} }} \cr
& \Rightarrow x = 13 \cr} $$