I can't tell you an exact time. It will depend on whether there are any issues in confirming your identity. So it could be a couple of days and it could be up to a week.
I can't tell you when the Council would receive your statement - this is something you would need to ring the UC helpline and ask. 0800 328 5644 BIS
Nothing on this board constitutes legal advice - always consult a professional about specific problems