Levelling a first class to 60 is a real slog, but the armoury bonus and the general boost to EXP gains in 3.1 made it much easier to level up alts, I have just been running dungeons and doing daily beast tribes. First class to 60 was Arcanist and I was power levelling with friends (a Paladin, a Monk and a Machinist) when HW came out, so it was relatively painless, if a bit tedious.

I find that doing your daily roulettes (levelling, level 50, trial) and beast tribes on the class you are levelling makes it quite quick, you will get roughly 3/4 of a level a day, depending if you throw some dungeons or fates in there. Queues are quick for tanks but generally slower for DPS, run the latest HW dungeon and do beast tribes/fates in between, maybe do some unfinished quests, if its yer first, do quests, since unlike dungeons, the EXP doesn't scale up with level.