CM - 150 philosophy @ 70 minutes completion time
Praetorium - 200 philosophy @ 90 minutes completion time
AK - ~120 philosophy and 60 mythology @ 60 minutes completion time (philosophy based on time mark @ each boss)


But you can beat them more than once within those times, which net you more than double tomes in some cases. There would be no real incentive for those experienced in the current speedruns.

I think it should be more than just a speedy completion:

CM - < 25 mins and no deaths = 130 tomes
Praetorium < 25 mins and no deaths = 130 tomes
AK < 30 mins and no deaths = 110 tomes

Make it both challenging and rewarding. Everybody has to be on point and can't screw up. They should also reward people who have run a dungeon before with more tomes if they are guiding new players through it if the new player agrees to it a the end of the run....so no being jerks to new players running CM for the first time.