What is the pumping rate $($in $\frac{m^3}{d})$ required to create a drawdown of $279mm$ at $34\mathrm{.}9m$ from the well after $2\mathrm{.}3$ days of pumping. The aquifer is confined, and is $21\mathrm{.}9m$ thick and has a $K$ of $5\mathrm{.}8\frac{m}{d}.$ Take the specific storage as $1\mathrm{.}9{10}^{-5}\frac{1}{m}.$

To solve this problem, please use the reduced form of the well equation solution as given here $($see the Week $8$ lecture on pumping tests for a complete explanation$)$:

$-0\mathrm{.}5772-ln(u)+u-\frac{u^2}{2\mathrm{.}2!}+\frac{u^3}{3\mathrm{.}3!}$