I'm building a pc and when it's done I want to use a wired connection so it's faster, the room with the router and modem is across the house and I don't want to run a 100ft cable across the floor, I have a coax thing in the room that I want the wired connection in, I was wondering if I could just get a cable modem and run it from the coax then to the pc with a cat cable, would it get the same fast connection if it was from the router directly? Or would I need to move the router and modem from the other room?...