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there are other ways to build up your cardio-vascular endurance..
if you are wanting to workout more specifically for skiing i would look at maybe training your body 4times a week but in shorter session
continue using exercises from your current routine
Day 1: chest and tris - warm up with your current run of around 5 miles and maybe try some intervals of sprinting and jogging.
Day 2: Legs - use strength based cardio to warm up for this i.e. Burpees, Lateral hurdle jumps and tuck jumps in a superset
Day 3: Back and Bis - again warm up with your 5mile run
Day 4: Shoulders and Core - use strength based cardio
I would also look at maybe taking one protein shake a day, everyday. On training days make this shake post workout so that you can ensure your body is being fuelled approprately