Cycling A Tank with Live and Dry Rock

Hello,

So i am planning to start a new tank and i am on a budget so i am planning to cycle my tank with dry rock, my tank is 55 gallons and i am planning to use 55 pounds of dry rock and 5 pounds of live rock. How long will it take to cycle the tank if i use 5 pounds of live rock and is there anyway to make the process go faster. In a 55 gallon set up what will u guys recommend as the best ratio of dry rock to live rock and can cycle reasonably fast like in two months

Thanks Much Help Appreciated