This question is impossible to answer, because a) there are so many different types of projects, and b) this varies as you become more senior!!
For example, an organisational re-design case will spend a lot of time in meetings with HR and Executives to define. refine, and re-refine the layers. On the other hand, in a Due Diligence case you might spend most of your time just setting up and gathering the input/assumptions required for the model.
I would also add that, at the risk of sounding obvious, as you become more senior, more and more of your time will be occupied by meetings - so the length it takes to e.g. conduct analyses will impact your day-to-day work less.
