It Takes 15 Minutes to Get Into a Game Nowadays

2 mins: Waiting in Queue Someone Doesn't Accept AFK Check 1 min: Waiting in Queue Enters Champion Select 1 min 25 seconds: Calling Roles, Locking in, Masteries and Spells Someone On Your Team Dodges Because they Didn't Get Mid 1 min 30 seconds: Waiting in Queue Someone Doesn't Accept AFK Check 1 min: Waiting in Queue Enters Champion Select 1 min 25 seconds: Calling Roles, Locking in, Masteries and Spells Your Team Fully Locks in, Looks Like a Game Someone On the Enemy Team Dodges for Some Reason 1 min: Waiting in Queue Enters Champion Select 1 min 25 seconds: Calling Roles, Locking in, Masteries and Spells Game Starts 1 min: Loading screen Champions Spawn There's an AFK on Your Team or the Enemy Team 3 mins: Playing Game Enemy Team or Your Team Remakes You Enter Queue

Repeat until you get lucky

EDIT: This is just a normals match in bronze-silver elo i can only imagine ranked and high elo ranked from what i hear its 1 hour queue times there