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I incorporate weights into my training but always struggled in the latter part of marathon training to fit it in. Now only do 2 weight sessions per week, medium weights and high reps (15-20 per set). Overall it does help especially recovering from injury.
I do Body Pump classes or do my own weight based circuits (using dumbbells, barbells and kettlebells) on the gym floor twice a week. I am a firm believer that weight training is an essential complement to running. For example, running mainly works the lower body so if I want a balanced body I need to pay attention to my upper body and core as well. Personally, I just can't imagine running up a killer hill without having these strong legs that I built during Body Pump!
I came into running from a boxing/martial arts/bodybuilding background......and to be honest, much as I love my running, I don't want to end up having the typical upper body of a distance runner. Its just a cosmetic thing. For as long as my running times keep improving I'll keep it up.
I have given up bodybuilding but still incorporate high rep (10-20) weights exercises for every muscle group (I do an abdominal workout too). It might have some benefits to me as a runner.............but honestly, I'd imagine that the weight I'd lose if I gave up all weight training would possibly benefit my running more.