About 8 hours - more if you have a really dodgy car. This is allowing for 3 - 5 20 min breaks and another 30 to get lost in, and for keeping to the speed limit.

It takes about 6 from East London to Whitby, and about 1 1/2 from East London to Towersey along the M25 on a good day (allow extra for M25 - it is a crappy piece of road), so that makes about 8.

LTS