I ABSOLUTELY agree with Erik's explanation except for the last paragraph: for playing fast you have to practice AS FAST AS POSSIBLE. This means at the tempo you have control,relax and don't get tired. When I'm trying to play faster I don't use the metronom: I play as fast as I can, I work on the whole passage -not in ppp, maybe in some mf in the beginning- and after I feel the work done I use the metronom to check what speed I achieved. But in the same day is impossible to pass from one tempo to the next:you have to give your muscles and brain time to get used to the new tempo, it's a natural process. You can work this way, very intensively,for about 2 weeks and will be a moment when you just can't play faster. In that moment I DON'T PLAY the piece for a couple of days, giving time to the nature. After the brief break, you will play even faster. Give time to every process. After the tempo is achieved you can work on playing more piano, don't work on 2 difficulties at the same time. WATCH OUT with getting tired: maybe you're playing with the fingers isolate -separate-from the rest of the arm,or the elbows are too near from the body. Check the relax of the hand and the arm:if you can feel the palm of the hand and the armpit while playing, you're relaxed. If you're playing relaxed, the more you play the best you feel. If you get tired, STOP, WAIT A COUPLE OF MINUTES and you can recover the state of relaxing letting the whole arm falls at the side,as a dead weight.Memorize the feeling and put the hand back on the keyboard keeping the sensation in mind. But NEVER EVER keep playing if you feel the hand unconfortable. Remember ALWAYS warming up well before you start with the etude, never work on it with cold hands.