A swimming pool whose volume is $10,000$ gal contains water that is $0\mathrm{.}02\%$ chlorine. Starting at $t=0,$ city water containing $0\mathrm{.}001\%$ chlorine is pumped into the pool at a rate of $6ga\frac{l}{m}in.$ The pool water flows out at the same rate. What is the percentage of chlorine in the pool after $1$ hour? When will the pool water be $0\mathrm{.}002\%$ chlorine?

What is the percentage of chlorine in the pool after $1$ hour?

After $1$ hour the pool will be $\%$ chlorine.

$($Round to four decimal places as needed.$)$