(c)
$k = \frac{1}{t}\left\lbrack \frac{x}{a(a - x)} \right\rbrack$
$k = \frac{1}{500}\ \left\lbrack \frac{0.2a}{a(a - 0.2a)} \right\rbrack$
$k = \frac{1}{2000a}$
$\frac{1}{2000a} = \frac{1}{t}\left\lbrack \frac{0.6a}{a(a - 0.6a)} \right\rbrack$
$t = 3000\ s$