How long does it take PE headhunters to respond to interest emails?

I'm currently finishing up my first year in banking looking to make the jump to PE. I've been receiving emails from headhunters all year but have just recently started responding and expressing interest. Although I've expressed interest in different opportunities from these headhunters over the past two weeks, but haven't received any feedback from them so far. I'm wondering how long headhunters typically take to respond to candidates to set up an interview or even a coffee chat about different opportunities. And what I can do to potentially help my chances of getting an interview.