With 11x5 @ 100 it takes me about 15 minutes twice a day to run missions (this also includes professions daily CDs)
Other than that, twice a week I collect work orders and once every two weeks I do salvage yard. The work order days take about 1h, and then salvage yard days take about 2h.
I use several addons which make everything a lot faster:
TSM - makes crafting CDs, vendoring and mailing stuff between characters super easy once it's configured correctly.
Master plan, garrison mission manager and garrison broker all help with missions and keeping track of workorders.
I also use an addon that helps with upgrading follower gear called follower gear optimizer.