This hike is a combination of the Cerro Torre and Mt. Fitz Roy treks. It can be split in two days, or squeeze in one.

(infos from https://www.back-packer.org/fitz-roy-trek-in-el-chalten/)

Day 1: The starting point can be found in the north-west of El Chalten and is hard to miss (big signs). From there the only way is up, after 1h you reach the viewpoint “Mirador Fitz Roy” (left hand side). Continue after a little break and follow the signs to the Camp “Poincenot” and leave your equipment there  before heading up to Laguna de los Tres, enjoy your day up there and spend the night at the camp.
 
Day 2: Take it easy in the morning and head in the direction of El Chalten, shortly afterwards you'll get to a junction which you have to follow right to “Laguna Torre”. The distance to Laguna Torre is about 7km, easy doable in around 2h – the trail leads you through flat terrain passing Laguna Madre, Laguna Hija and Laguna Nieta. At the next big junction you keep right and arrive at Laguna Torre at lunch.