I am with you! I am running a half in 13 days and average 11:30 pace in training. The rush of a race speeds me up too though.
You have to push speed to increase your pace. I try to have 1 day that I work speed. Treadmill is the easiest for me - setting it on 6 mph and just do it. I also will do speed intervals - where you start at 5.2 or whatever and every minute or two increase it.
You need like a 6.1 or 6.2 mph to get a 30 min 5K. Last year I only did 1 5k and did it in 30:30. I have to do one this year just to get under that 30 mark!!
Run sprint intervals. 60 seconds as fast as you can go, then 60 seconds walking or jogging. Do it for 20 minutes twice a week. Your speed will increase.
Absolutely interval sprints! Like PP suggested, you can find interval training plans by googling it - it will definitely get you to your goal time. I also incorporated hill sprints to improve my times - same as a regular sprint interval, but I would just find a relatively steep hill and sprint up the hill and then walk or jog back down, repeating 7 - 10 times depending on the hill size. You can also up the incline if you're on a treadmill.
Ditto sprint intervals! This time of year, when the weather is nice, there's no way I'd do them on a treadmill. You can just as easily do them outdoors (on a walking trail, sidewalk, road, whatever) during a regular run. If you have a stopwatch with interval timers, set that to help you keep tabs on time, OR just keep an eye on your watch/HRM. Good luck!
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Re: increasing running speed
I am with you! I am running a half in 13 days and average 11:30 pace in training. The rush of a race speeds me up too though.
You have to push speed to increase your pace. I try to have 1 day that I work speed. Treadmill is the easiest for me - setting it on 6 mph and just do it. I also will do speed intervals - where you start at 5.2 or whatever and every minute or two increase it.
You need like a 6.1 or 6.2 mph to get a 30 min 5K. Last year I only did 1 5k and did it in 30:30. I have to do one this year just to get under that 30 mark!!