How fast a site shall open would depend not only on the Internet connection of the customer, but also on the connection of the hosting server in which the site is hosted and on the network infrastructure - routers, server network card, and so forth. Slow connection or hardware which cannot cope with a high volume of inbound and outbound traffic might have direct impact on the user experience of your visitors and the overall performance of your internet site as people shall probably see error messages that the site is not available or it will take some time for your content to load. In case this sort of a thing occurs, it's not likely that the guests will return to the site. That is why you must always check the connectivity of any hosting machine that you obtain and not just the main hardware components like hard disk, central processing unit and physical memory.