Question $3(15$ marks$)$

A $600$ m wide unconfined aquifer has a hydraulic conductivity of $1\mathrm{.}5{10}^{-5}\frac{m}{sec},$ and the bottom of the aquifer is $55$ m below ground surface. The water level in well $A$ in the aquifer is $43$ m from the bottom of the aquifer. In a second well $($B$)$ located $120$ m away from well A in the direction of groundwater flow the water level is $32$ m from the aquifer bottom.

a$)$ Determine the total flow through the aquifer.

b$)$ Determine the head at a point $80$ m from well A and $40$ m from well $B.$

c$)$ Determine the Darcy velocity $($specific discharge$)$ in the aquifer at a point $80$ m from well A and $40$ m from well $B.$