60 minutes

The Midsummer Fire Festival and Strange Engine Parts have really helped in getting me to 60 far earlier than I expected just a week and a half ago. I haven't dropped mining for tailoring yet (want to stock up on some dark iron bars), but I will soon. I'll post a video of how easy it is for me to smelt dark iron bars at level 59.

Here are the quests Noor did to get from 55 to 60:

Stealing Undercity's Flame (6100 XP)
More Torch Tossing (8150 XP)
More Torch Catching (8150 XP)
Strange Engine Part (#1)
Strange Engine Part (#2)
Strange Engine Part (#3)
Strange Engine Part (#4)
Strange Engine Part (#5)
Luck Be With You
Cache of Mau'ari (0 XP)
Winterfall E'ko (0 XP)
Bijou's Belongings
Message to Maxwell
Mother's Milk
En-Ay-Es-Tee-Why (56)
Kibler's Exotic Pets
More Torch Tossing (8450 XP)
More Torch Catching (8450 XP)
The First and the Last
Honor the Dead
Alterac Valley Graveyards
Flint Shadowmore
Mrs. Dalson's Diary (0 XP)
The Mark of the Lightbringer
The Eastern Plagues
Establishing New Outposts
The Blightcaller Cometh
AV (3 losses)
Kitchen Assistance
Report to Marshall Bluewall
Scouring the Desert
March of the Silithid
More Torch Tossing (8450 XP)
A Reliquary of Purity
Honor the Flame (Blade's Edge Mountains) (3800 XP)
Strange Engine Part (#6)
A Little Slime Goes A Long Way #1 (can use on oozes other people kill) (57)
More Torch Catching (8750 XP)
Mayara Brightwing
Secret Communication
Strange Engine Part (#7)
Strange Engine Part (#8)
(got Flame of Orgrimmar, will turn in later to maximize XP)
Capture a Mine
AV (3 losses)
More Torch Tossing (8750 XP)
More Torch Catching (8750 XP)
Desecrate this Fire! (Blade's Edge Mountains) (8750 XP)
Desecrate this Fire! (Nagrand)
Honor the Flame (Nagrand)
Desecrate this Fire! (Shadowmoon Valley)
Honor the Flame (Shadowmoon Valley)
More Torch Tossing (8750 XP)
More Torch Catching (8750 XP)
Captain Sander's Hidden Treasure #1-#4 (gray; 10% XP)
AB (2 losses, 1 win) 8750 XP
(did some AV, all lost; wasn't daily)
More Torch Tossing (8750 XP)
More Torch Catching (8750 XP) (58)
Through the Dark Portal
Arrival in Outland
Journey to Honor Hold
Force Commander Danath
The Legion Reborn
Know Your Enemy
Waste Not, Want Not
Laying Waste to the Unwanted
Zeth'Gor Must Burn
The Zapthrottle Mote Extractor!
A Bijou for Zanza
AV (2 losses)
Strange Engine Part (#9)
Dearest Natalia
Glyph Chasing
Kharan Mighthammer
Kharan's Tale
The Bearer of Bad News
Houses of the Holy (now friendly with Argent Dawn, opens collection quests (marked AD))
Bonescythe Digs (AD)
The Elemental Equation (AD)
Stealing Orgrimmar's Flame (6750 XP)
Savage Floraw (AD) (59)
A Thief's Reward (6950 XP)
More Torch Tossing (9300 XP)
More Torch Catching (9300 XP)
Binding the Dreadnaught (AD)
Strange Engine Part (#10)
AB (1 win) (9300 XP)
WSG (1 loss, 1 win) (9300 XP)
Strange Engine Part (#11)
More Torch Tossing (9300 XP)
More Torch Catching (9300 XP)
Attunement to the Core
More Torch Tossing (9300 XP)
More Torch Catching (9300 XP)
AV (1 loss, 1 win) (9300 XP)
The Battle of Alterac (60)