Background: I usually run 3x weekly, usually about 5k/up to 6-7k on a long run, but quite slow. Due to injuries in the past I am trying to not ramp up too quickly. I did C25K in the Spring to get back into running after the last injury and kept building up gradually to where I am now.
I would love to eventually manage a 5k (ideally our local Parkrun, if/when it restarts) in under 30 minutes, and was looking for a training plan to help me get there. However all the ones I found so far were either a) similar to C25K (get up to 5k, but not at any particular speed), b) were aimed at increasing the distance, e.g. getting to 10k - but I'm not really interested in increasing my distance that much, and don't have time to run a lot more either, or c) they expect you to be already a lot faster at the start of the plan than I am at the moment!
My usual training runs are somewhere between 7-8 mins per km I think, depending on the location as some are rougher than others. My best ever kilometre was 5.39, but that was a year ago and chasing a pacer, and I nearly died couldn't keep it up so had to slow down a lot after.
If you know of a suitable plan or app that will help me gradually improve my speed but without too much risk of getting injured again, I'd be very grateful!