That is a very hard question to answer. It is like asking how long will it take to learn to swim. But I think the answer is similar.
By yourself and with no outside help it is gunna take you a long time ( but at least you won't drown) If you buy a reputable book ( or start trowling the net) it is going to shorten the time down by say 80%
If you can get side by side with someone who not only can sharpen, but can also break it down so you can understand. Dare I suggest a day.
I have taught ( or laid the ground work at least ) for a couple other blokes in a few hours.
WARNING you will find a lot of self taught "experts" including myself will have somewhat different opinions on how to do it. Soak it all in. Learn each one distill your own method. Don't let anybody tell you "that" method is Bullsh@t unless they can explain why.
A couple suggestions. Don't start with a super hard alloy. Hit the second hand stores or your shed and get some cheapies to get the idea with.
Make sure your stones are flat, securely mounted ( so they won't slip I use some of that nonslip matting for shelves)
I find 4-6 inches above waist hight is about right ( for me)
I would also get a cheap carborundom stone to practise on. I use kitchen washing up liquid diluted with water as a lubricant. it makes cleaning the stones easy and it can by thick for course stones and almost water for fine stones.
A super fine edge is great on a woodcarving knife or a good alloy S30v but for a cheaper general purpose knife ( say your Mora) a bit of a toothy edge is not a bad thing.
Now having said that after reading Bushcraft a couple years ago I now strop the living bejesus out of everything I sharpen I really belive t makes the the edge last much longer. regardless of how fine a stone I finished with. A toothy edge will cut rope a bit easier and I reckon meat a bit better too.
If you get caught up in the convex rush I think a piece of vinyl is better than a mouse pad ( I think mouse pads run the risk of curling up the edge when your learning. ( so you are blunter than when you started)
I'm a fan of the Spyderco 204
http://www.youtube.com/watch?v=6yVN9lLVPM4
Good looking bloke there. RATFLMAO
Make sure you read the instructions. Don't skimp on the first grind ( edges of the grey stones) keep the damm thing clean. Dirty stones will frustrate you.
If the oppertunity presents to grab a Buck 136 Honemaster. Discontinued by Buck years ago but they do turn up on fleabay.
End on
On a USAF survival knife
Certain angle every time. The trick with this is measure the distance from the rests of the 136( where it contacts the stones) to the cutting edge and then move the clamp so it is the same distance from the point to the end of the rest, that will sharpen your point. I think the hardest part to teach is getting the sweep of the blade and the point sharp.
Most the time a home now I use a EZElap fine/super fine diamond benchstone and my strop. And travel with an assortment of small bits and pieces that includes a coarse/fine diamond paddle a Fallkniven DC4 stone and some metal polish ( Autosol) you can strop on cardboard with polish if you have to.
My strop, a very heavy leather belt one day I will glue it to that block of wood.( as a side note I have a piece of vinyl glued on one side)
Good luck.
Carl