I wager it will take months. I don't believe that BCC will take over BTC and BCC isn't going anywhere. Let's take a look at other currencies such as ETH and ETC. ETC came out, I believe it was worth something around a dollar and now it's approximately $13.00.

BTC is the largest and most well known currency. Many people and corporations are throwing fiat at it. I even read about Mark Cuban "investing". As BTC has the largest volume which supports the use and trade between people.