A better idea for dungeons besides speed run.

[SwordCoheir]

Could try a gauntlet type dungeon.

-Have reasonably sized dungeon maps that you work your way through, at the end of each map there's a boss.
-Once that boss is defeated you have the option to continue or take the reward.
-If you choose to proceed you'll be randomly teleported to one of the different maps and everything increases in difficulty.
-Continue to work your way through the floors defeating each boss, progressively getting more and more difficult.

Conditions for Winning:
-For each boss kill you obtain one chest (Up to 5) which can be obtained by choosing to receive your reward instead of continuing in the dungeon.


Conditions for Item Drops:
-The first chest will always be the chest that holds the rarest items in the dungeon so it will be possible to obtain them with one boss kill, however the chances of obtaining the gear will be next to nil .01%-1%.
-Beating subsequent bosses will drastically increase the drop rate of the rarer items and even lowering the drop rate of other possible drops in the process giving players more incentive to try and go as far as they can.
-Continued progress past the 5th boss can still further increase drop rates, but not the number of possible chests

Conditions for Loss or loss of rewards:
-If time expires all rewards and progress is lost.
-If the party/members are defeated or forced to return, players will be penalized and be reduced one boss win lowering chances of rewards.

I'm just throwing out some rushed ideas though, they're far from a perfect. It could let those speedsters have their fun by going as far as they can to improve their chances at getting the items, but still let the slower, more casual, or less experienced players enjoy the dungeon and still have a chance to be rewarded for their efforts.