Q:  

Federico,

The fastest way to climb big walls as a group of three is to use the caterpillar method. However, the caterpillar is specifically designed for speed climbing, i.e. climbing something like El Cap in a day. Here's how it works. The leader trails two lines. When he gets to the belay the first thing he does is fix one of the lines. One of the other team members jugs that line up to the high point as quickly as possible and then puts the same leader back on belay with the line that they just jugged. Meanwhile, the leader has fixed the lead line for the third member of the team. Before the third guy can start cleaning, the belayer or leader sets up the haul and pulls the bag off the lower anchor. Once this is done the third man can start cleaning the pitch. The key to this system is to get the leader back out on the sharp end as soon as possible. Also, it helps to carry an extra big rack so that you still have enough rack to start leading the next pitch before the previous one has been cleaned. Once the third man reaches the previous anchor with the gear from that pitch, you can haul it up with the third spare rope which you are now using as a trail line. It is a complicated system to describe, but just keep in mind that it has many variations. You should experiment and go with whatever works best for you. The caterpillar system is most crucial on single push climbs, but it will also work equally well on multi- day ascents.

Good Luck!