Might be a silly question but are the times provided in the plan inclusive of warm up and cool down or should I add additional 10 minutes on the beginning and end of each workout?
Which plan? It seems that some are and some aren't. In the winter cycling plan, they appear to be included though your total time will vary as there is a range of warmup/cooldown times given. It seems like the run and bike workouts generally include warmup/cooldown as part of the total time.
Often athletes forget the fitness basics such as warm up and cool down. We know they are important, but we want to get into the meat of our workout without wasting time.