The best way for you to get an Adsense account approved faster, is by getting your own website, create a few pages, put some quality content on it and make sure you have some good quality well written content in it Google gives more preference to ".com" websites we own, instead of free sub-domain websites, blogs and so on
My Friends Blogger with 6 month old posts of Local Random Pics was Partially approved. Received the e-mail confirmation for application submitted and start displaying Ads on Blog within 48 Hours after submitting my application through blogger Monetize Tab. So Easy... But its hard to stop it from getting banned for invalid clicks and earn the target of 10$ for Postal Verification. For a new blog. and also its hard to raise the Earning on a new approved Adsense Account with just a blog of Random Pics.