is this your first half marathon? if so, dont worry about speed.... worry about covering the distance
the kind of speed training you would need to do for such a long distance involves Lactic Acid Threshold Training, 1mile repeats, 1 mile hill repeats, that sort of thing
Are you a "newish" runner?
Also, DROPPING WEIGHT is a GUARANTEED improvement in speed... something to the effecet of 5 seconds per mile faster for every couple pound sof fat ( i really cant remember the exact numbers.. they arent HUGE but over the long un they add up).
Doing "short" sprints is really only going to improve your VO2Max, which will not help with an endurance race...a 5K? absolutely.... At no point during the half should you be even CLOSE to going anaerobic.
Running form and efficiency is another thing to look at to improve speed. If you heel strike, chances are your foot is literally on the ground longer with every step (even though we are talking micro-seconds)... its very inefficent and WILL slow you down overall...significantly, not to mention takes much more effort and energy.
If you want to get faster at this point in your training, i have 2 suggestions:
1) go do a 5K, a race maybe, and PUSH YOURSELF PAST YOUR COMFORT ZONE the entire race...... MAKE YOURSELF run a 10 minute mile, or even a 9 minute mile..... you just *might* break through a mental barrier and realize you can go faster, its just thats it s outside of your comfort zone... for now. Eventuallly that uncomfortably fast will become comfortable. it will also boost your confidence. This is how i went from a 9 ish minute mile/ avg, to 7:15's, on 10K or less.
2) on your mid-length runs (prob 5-7 miles as your training progresses?) GGo ahead and incorporate 1 mile or 1 kilometer repeats in the your runs.. a repeat isnt a sprint...its an interval done at goal race pace. For you, you might try a kilometer at a 10 minutes mile, thean a kilometer at your normal pace (this is your recovery-- no stop in between), then repeat. Maybe its an 11 minute mile for you. It should be "uncomfortable" towards the end, but by NO MEANS should you be gasping, and dying... focus on lighter, quicker foot turnover during these repeats... not pounding harder, if that makes sense
Good luck
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