Originally Posted by hamster

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There's little valid reason to include lower-body weights in a schedule that has you run or bike 2x or more per week. All scientific evidence we have says that, at best, it won't do you any good, at worst, it may actually hamper your progression. You focus on one or the other. If you do lower-body weights, ride 1x/week. If you ride, don't do weights.

There's no interaction between riding and core or upper-body weights, you are free to combine them at will. (Subject to caveat that you need enough protein in your diet to support what you're doing. If you schedule a 2 hour ride and a round of bench presses on the same day, you probably want at least an extra serving of meat, or a serving of protein powder, later the same day.)