In my knowledge there is nothing you can do to speed it up, but I would recommend setting up your website PROPERLY first and then submitting an application. Don't let them reject it at first as the second approval takes a long long time.
Cannot get fast one. They have too many applications to process. Maybe you can try chitika or other adsence like program while you wait for google
adsense rejected my request.....my blog is beyondfitness.co.cc.............plz guide me how to get the approval????
lol, actually happened to me when I first got started 2 years ago. The reason given was that I did not have enough original content, which was a pretty fair take on things because I really didn't have much original content, it was just a video blog linking to my favorite youtube videos. Learned a lot since then...
I am surprised to see that adsense gives approvel within few hours. For negative answer it took more than one month for me.
Try docstoc.com, u can apply adsense there but it requires u to upload quality pdfs, and docs. Usually it takes 6hours to get approved.
As far as I remember my one was approved within a week or so. I applied for my blogger.com account. It was easy that time but now a days I heard they don't approve in this way any more.
You can get approved very fast (took my friend less than an hour) by creating a Blogger blog, adding unique content, avoiding "money making" blogs, and illegal stuff, of course. After that, you can put AdSense on other sites and blogs. You don't have to get approved for those, but you still have to follow Google's rules, of course.
Try google "Methods to get adsense within few days" i found out some websites from which you can get approved easily
Its very easy to get a adsense account,just apply it through a blog plus some good content. Visit my blog post for all the information gettipsonline.blogspot.com/2011/06/how-to-get-approved-for-google-adsense.html