Q$4$: $(20$ Marks$)$

A $500$ m square excavation is to be dewatered by the installation of four wells at the corners. Point A is in the middle and point $B$ is on one side equidistant from two of the wells for an allowable pumping period of $48$ hr $,$ determine the pumping rate required to produce a minimum drawdown of $6$ m everywhere within the limits of the excavation. The confined aquifer has a transmissivity of $2{10}^{-4}\frac{m^2}{s}$ and storativity $7{10}^{-5}$