Well actually Bitcoin can be the answer to that problem and it is very evident in countries like Zimbabwe and Venezuela where they are struggling with hyperinflation. In these countries it is not strange for Fiat currencies to lose value daily and people are turning to Bitcoin to protect the buying power of their local Fiat currency.  

Looking at the long-term, Bitcoin's value are steadily going upwards, where Fiat currencies are losing buying power daily. Inflation is just a small piece of a system that are doomed to failure.