In reply to Gordon Stainforth:
The Band, sorry I do not follow. If at the top of Pavey the logical approach to Bowfell would be across Martcrag Moor which is less than pleasant.
If the OP wishes to incorporate Jacks Rake I would suggest the path from the Youth Hostel straight up the ridge towards Pavey, but rather than ascend Pavey , use the climbers descent direct to Jacks Rake then ascend Pavey , then head out to High Raise, then to Stakes down Langstrath up Cams Crag, top out Glarmara, then either head for YHA Borrowdale by going via Allen Crags and Grains Ghyll or go via Combe Ghyll. But this would be a totally different walk, but incorprating two good scrambles. Not sure of the distances, probably shorter.