Increasing length/speed
So, I am (quite successfully) doing the Couch-to-5k program at the moment. I just completed week 6 today, which means I can now very slowly run 25 minutes without stopping. There are only three more weeks of the program left and they are all 3 days of the same length. Next week's will be 25 minutes, the week after 28 minutes, after that 30 minutes.
I am an extremely slow runner/jogger right now. I did the 25 minutes on a hilly section, but my 20 minute run in rather plan terrain the week before, which wasn't any faster than today's, was only 2 kilometers long. However, on June 16th, I want to run a 5K. I am moving in July and want to do a 5K before that - but the only one that is going on n my hometown in June is a rather fast one. last year, the slowest 5K runner did the run in 43 minutes. This seems like madness to me right now. I don't want to be particularly fast, of course, but jogging the whole course and not finishing ten minutes after the second-to-last person would be nice :)
And this is where I am asking the wisdom of you people :) The path I am running now is really beautiful and I hate having to turn around and go back. The full path would be 4.5 kilometers, though. Do you think I can already do one of my runs as a 'long run' and jog/walk that distance? Would that make sense?
I am an extremely slow runner/jogger right now. I did the 25 minutes on a hilly section, but my 20 minute run in rather plan terrain the week before, which wasn't any faster than today's, was only 2 kilometers long. However, on June 16th, I want to run a 5K. I am moving in July and want to do a 5K before that - but the only one that is going on n my hometown in June is a rather fast one. last year, the slowest 5K runner did the run in 43 minutes. This seems like madness to me right now. I don't want to be particularly fast, of course, but jogging the whole course and not finishing ten minutes after the second-to-last person would be nice :)
And this is where I am asking the wisdom of you people :) The path I am running now is really beautiful and I hate having to turn around and go back. The full path would be 4.5 kilometers, though. Do you think I can already do one of my runs as a 'long run' and jog/walk that distance? Would that make sense?

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You could consider switching one or two of your three runs with faster-run/walk intervals. I don't mean you should sprint or anything! Just try to pick up the pace. It means you won't be able to run very far/for very long, which can be a bit depressing (and is the reason why I didn't do it before - I felt better about being able to run x kilometers without stopping, but always running slowly means getting in shape slowly, too), but I'm seeing good results from it - it actually improves stamina over longer distances. With four weeks left until your race, I think it could improve your stamina, too.
Btw, if you haven't heard me/people say it before: barring injuries, you'll often run faster on race day compared to training. The atmosphere helps push you along :o)
I may not understand 100% what you're asking, so possibly my answer is off: With an appropriate run/walk interval, you should be fine. I ran/walked 4K today in 4/1 run/walk intervals, but if your longest run so far is around 2.5K(?), try a 2.5/1 interval or even 2/1 interval to begin with.
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I don't know if your mind is where mine is (/was, except it still goes against my intuition), but it may not seem logical that you can increase your stamina over longer distances by running faster over (much!!) short distances - when you push yourself to run an extra 5 mins or ½K, then you can see that you've improved, whereas when you train faster running over much short distances, you have to hope you improve, but can't tell until you try a longer run.
But it has worked for me - and even so, I'm still tempted to do too many of my training runs as distance/endurance runs, because I want to see just how it's improved me :o)
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It's possible it just seems to have worked for you because you haven't run any real distance yet, and I am sorry if that sounds dismissive. But you don't build aerobic endurance by running lots of short intervals hard.
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I'm getting in shape faster than I ever have before, but you're right that I have still to run longer distances!