A $6-$inch diameter well has been constructed in a watertable aquifer. A pump capable of continuous discharge at $200$ gpm has been installed to test the well. Observation wells have been located $30$ feet and $100$ feet from the pumped well. After pumping continuously for $36$ hours, the drawdown in the observation wells were $3\mathrm{.}00$ feet and $1\mathrm{.}00$ feet respectively. The thickness of the aquifer is $100$ ft $.$ What is the value of K in $f\frac{t}{?}$ day? Use the Thiem equation.

A continuously pumping well has two observation wells, one $50$ ft away and the second $100$ ft away. If the drawdown is $2$ ft in the nearest observation well $36$ hours after pumping started, at what time after the start of pumping will the drawdown in the more distant well be $2$ ft$?($Law of Times$)$