It depends how keen and how fit you are, also how you like to travel.
It's about 850 miles (avoiding motorways), but there's no offical route. Records of "how fast" started to kept in the 1890s, when the fastest anyone could do it was 6 days. The most recent 'fastest' record (on a high spec bike with tri-bars and support vehicles) is 1 day, 20 hours , 4 minutes, 19 seconds, set in 2001 by Gethin Butler. You can see other records at this page. Even these hyper-fit super-keen cyclists usually need about 3 days to do it (forget about sleeping, and plan on a lot of hallucinations).
For normal people on normal bikes, the typical time taken is said to be 7-14 days. Longer if you wanted to do some sight-seeing en-route. That's staying in hostels or B+Bs, so you don't have to carry too much luggage (like camping gear).
It's about 850 miles (avoiding motorways), but there's no offical route. Records of "how fast" started to kept in the 1890s, when the fastest anyone could do it was 6 days. The most recent 'fastest' record (on a high spec bike with tri-bars and support vehicles) is 1 day, 20 hours , 4 minutes, 19 seconds, set in 2001 by Gethin Butler. You can see other records at this page. Even these hyper-fit super-keen cyclists usually need about 3 days to do it (forget about sleeping, and plan on a lot of hallucinations).
For normal people on normal bikes, the typical time taken is said to be 7-14 days. Longer if you wanted to do some sight-seeing en-route. That's staying in hostels or B+Bs, so you don't have to carry too much luggage (like camping gear).