Turning in quests in different classes

I picked up a quest as a Runemage and got it to silver nearly gold. I am now a musketeer. If I complete the quest now can I turn it in as a musketeer and get the experience etc. Or do I need to switch back to Runemage to get credit when I turn in the quest?

You get experience on whatever class you turn it in on

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Thanks I thought it may be that.

Yep got level 30 in classes I have never played.