A single well is to be used to remove a symmetrical oblong plume of contaminated groundwater in an aquifer $20\mathrm{.}0$ m thick with porosity $0\mathrm{.}30,$ hydraulic conductivity $1\mathrm{.}0*10-4$ m$/$s$,$ and hydraulic gradient $0\mathrm{.}0015.$ With the plume and capture$-$zone curve superimposed as shown in Figure P$53,$ the angle from the well to the point where the two just touch is $45,$ and the width of the plume is $100\mathrm{.}0$ m$.$ What pumping rate would cre$-$ ate these conditions?