That is not hard at all, put it into perspective I can run 3 miles in about 17 Minutes, and I tried my 3 mile route maybe 3 times, before I did it at that speed without stopping. Just keep practising, and if you feel like giving up on the first few times, make sure you push yourself as hard as you can!
As for timing, if you run every day you could be there for sure in a week, probably less. Good luck!