$4.(25)$ A $15"$ diameter well in a confined aquifer is being pumped at a steady rate. During pumping, a monitoring well located $60$ feet from the pumping well has a drawdown of $4$ feet and the radius of influence is $400$ feet. When the well is not pumped, the static pieziometric pressure head of the aquifer is $70$ feet above the upper confining layer. Geological data reveal that the aquifer consists of peat and the upper and lower confining layers are located $\backslash (100\backslash$& $180\backslash )$ feet below the ground surface, respectively.

a$.$ Draw a schematic of the well and aquifer system being sure to label everything.

b$.$ What is the discharge from the pumping well $($in gpm$)?$

c$.$ Find the monitoring well pressure $($in $\backslash (\backslash$underline$\{\backslash$mathbf$\{$p s i$\}\}\backslash ))$ during pumping relative to the upper confining layer.

d$.$ What is the pieziometric drawdown at the production well during pumping $($in $\backslash (\backslash$underline$\{\backslash$mathrm$\{$t$\}\}\backslash ))?$

e$.$ Calculate the travel time from the monitoring well to the production well during pumping $($in days$).$