I'll call the starting charge at t=0 Q0
what you can say is that Q/Q0=e^(-t/RC)
so you're well set to tackle questions asking you about the time for the Q to drop to any fraction of Q0. e.g. half ,1/10th etc.. but for Q to become equal to zero, which is what the question seems to be asking, that is a bit tricky because as x increases e^(-x) gets closer to zero but never reaches zero.