The figure below shows two circuits with a charged capacitor that is to be discharged through a resistor when the switch is closed. In figure $($a$)C_1=5\mathrm{.}00F,R_1=20\mathrm{.}0.$ In figure $($b$)C_2=8\mathrm{.}00F,R_2=10\mathrm{.}0.$ The ratio of the initial charges on the two capacitors is $\frac{q_{oz}}{q_{ol}}=1\mathrm{.}50.$ At time $t=0,$ both switches are closed. At what time $td{o}_o$ the two capacitors have the same charge?

$($a$)t=0\mathrm{.}6ms$

$($b$)t=0\mathrm{.}16ms$

$($c$)t=1\mathrm{.}0ms$