I think different things work for different people. For me I used intervals and speed running (no idea what it's really called) to increase my speed.
For the intervals I started just using landmarks. I'd lightly jog for a bit and then run as fast as I could manage between certain trees/signs etc. Then I'd slow down to a light jog again. I would repeat about 4 times. Then the next time I did it, I would go one tree further on my sprint and one tree less on my light jog. Now I actually use an interval timer which times me and tells me when to lightly jog and when to sprint.
The other thing I do is is run as fast as I can for as long as I can. I wanted to average a speed of 10:30 so I ran at this speed for 2 km to start (almost felt like I was going to die) and then finished my run at a really slow speed. Then I would slowly increase the distance I could run at this pace for. Now when I put my mind to it, I can run a 5km in 27minutes and I'm hoping to still improve a bit more.
These are just the things that work for. I also cross train with cycling and weight training which also helps! Good luck and I'm sure you will reach your goal very very soon!!!!
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