Not sure what the exact figures are, but by doing the weekly bounties doesn't get you very far. You can trade Etheric Lights to get more rep, but it's not very much, and there are only 2 guaranteed drops per week.
This means that for people who have already beaten HoW questline, and didn't milk the crap out of the bounties back when HoW was the current expansion, it takes weeks to gain a single rank.
This needs changing. There needs to be another way for gaining rep with this faction, one that's not once per week.
Maybe there could be a way of exchanging materials other than etheric light for rep like with other factions? Maybe there could be another three bounties that give less rep, but reset every day?
I'm just making suggestions, but something needs to be done.
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Why do you want to be ranked up in the Queens faction.