Since I don't know your experience level this question may be difficult to answer. I have done Liberty Ridge twice. The first time we encountered perfect conditions and whole trip took 2 days and was a joy. The second, we encountered poor weather after thumb rock and bullet proof ice; which dramatically slowed or progress and the trip took 4 days with much epic potential. Don't take this route or others like it too lightly. Be prepared for bad conditions and bring extra fuel(=water), shovel (=bivy), etc... To answer your question. It took us one full day to reach thumb rock from white river without too much difficulty (pack weight=45lbs). The Carbon can be problematic esspecially on low snow years. If you need to do running belays pickets work best but don't forget ice scews and plenty of webbing/cord for V threads. If you don't have a lot of experience try another route like north face of Shuckson or a less comitting route. Remember many people have underestimated this route and died.