There are plenty of people who are living in rural areas (with copper cables, rather than the newer fibre-optic ones) who would love to have a download speed of 7.8Mbps. The Government's target figure is for all homes to have broadband access at a minimum speed of just 2Mbps by 2015. It's already accepted that the industry will miss those targets by up to 3 years in rural parts of East Anglia (as well as some other areas), where current speeds are well below 1Mbps.
There are 3 types of copper-wired ADSL connection. The basic standard is simply 'ADSL', where the maximum speed available is unlikely to be above 2Mbps. However BT Wholesale (who sell broadband capacity to other ISPs) offer 'ADSL Max' as their standard product. Theoretically that offers speeds of up to about 8Mbps but the majority of users probably get around 5Mbps (which is what most people in my street get). Lastly, there's 'ADSL 2+' that effectively gives a user two connections to the internet at the exchange, doubling 'ADSL Max' speeds (so I get around 10Mbps with ADSL 2+).
People who are connected to the internet via fibre-optic cables (such as the services offered by Virgin or BT Infinity) generally get speeds anywhere between 20Mbps and a theoretical 160Mbps.
As a further rough guide, video-streaming sites usually recommend a minimum speed of 2Mbps but I'd suggest that 5Mbps is desirable for a reliable connection.
If your pages are loading slowly then consider changing your browser (Firefox is much, much faster than Internet Explorer, for example) and/or installing an ad-blocker (because it's often the ads on a page that slow everything down).