These farms are class specific but can be done with class trials. You can only play a class trial for three hours, so before you have to remember to mail any gold or items before that. When your three hours have gone, simply make a new character. Many of these farms are very good if you can park a character at the farm, log in, farm a while, then come back and farm more at a later time.
Excess Potion of Accelerated Learning: Acquired in your Garrison (part of the Warlords of Draenor expansion), this gives you a 20-percent bonus to experience from killing monsters and finishing quests. It lasts one hour, but you can buy it multiple times and use it back-to-back. Alliance players buy it from Sergeant Crowler, horde players buy it from Sergeant Grimjaw. Does not work above level 99.
Escort quests can take awhile to do. I have thoroughly tested all the escort quests in the game for time/xp. Most are worth doing, but as long as you are able to actually do them without failing. Most require you to pay special attention to the escortee as most are fragile and will die easily, so do your best to keep mobs off of the escortee during escort quests. The longest one in the game is the Tanaris chicken escort. The chicken escorts are only worth doing if you were able to do all 3 of them, as if you do, you will be able to turn in an additional easy quick XP turn in quest at BB, which makes them worth it.
A dungeon should take about half an hour to 45 minutes, that is reasonable. What did we do to Maw of Souls because it was by far the fastest dungeon to spam run for AP? Nerfed its yield. Same happened to dungeons. Except instead of nerfing the XP, they adjusted the clear speed to justify the experience a bit more. Is it perfect? Nah, a lot of dungeons aren't even that long with updates. At most a clear takes 5 mins more.