$($d$)$ A $30cm$ diameter well penetrates $25m$ below a static watertable. After $24$ hours of pumping at $5400$ litres$/$minute$,$ the water level in the test well at $90m$ is lowered by $0,53$ and in a well $30m$ away the drawdown is $1,110m.$ Calculate the transmissibility of the aquifer.

$(4$ marks$)$

$($e$)$ Determine the drawdown in the main well in $($d$)$ above.

$(5$ marks$)$

$(25$ marks$)$