Is c25k for me?

I am a newer runner. I have been running about one month and just yesterday completed my 1st race, at 4k, at a time of 23:55 (about a 9 1/2 min mile pace) and came in mid-pack. I am a 30 yr old female. I have discovered the amazing feeing that comes with completing a race and am now planning on doing a 5k at the end of October. I can already run 5k, but I want to improve my speed. Is c25k something that will help with this or is this for runners just trying to work up to the distance?

Thanks!

Replies