[HCN]0 = [HCN] + [H+] + [CN-]
[HCN]0 = 1.0 M
Given 52% HCN is dissociated, thus
[HCN] = (100% - 52%)*[HCN]0 = 0.48M
I guess you work out the rest from here. It is just material balance.
However, I don't think this is rate constant problem but either an equilibrium constant problem or acid/base dissociation constant problem.