If your heart rate is up, you are getting a good workout, and as long as you are in that "heavy breathing but can still talk" stage, and you ride for about 40 minutes you are in the aerobic/fat-burning zone.
Churning a heavier bike along will make you stronger, but as Eden said, it is easy to slow down when things are heavier/harder. She has explained the maths well and it really depends what your ultimate goal is from riding in different ways on different bikes.
My training bike is about the same weight as my time trial bike, but much heavier than my carbon racing bike. I intend to always keep it that way because training with more weight one the bike (I always put two full bottles on the bike too, even though I alot of my training rides are only 60-90 minutes and I only consume about one bottle, if that) because training with more weight on hills translates to be faster on hills on my lighter race set-up.




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