Usually a draw.
This might help: https://www.thechesswebsite.com/queen-vs-rook-endgame/
King and Queen vs King and Rook

Usually a draw.
This might help: https://www.thechesswebsite.com/queen-vs-rook-endgame/
It is not usually a draw. It is generally a win, but it is very complex in many cases.

What happens with this is, against best defense it is extremely difficult to win, but at amateur level in practice the weak side often screws it up.
As others have already said, Q vs R endgames are usually a win for the Q. But that doesn't mean they are usually won! There are some very specific techniques and positions you need to know. Otherwise, you may not be able to get the job done in the 50 moves

As stated, Queen vs Rook is usually a win.
The main winning method is to force the side with the Rook back toward a corner. He will try to keep his King and Rook together, so that they can't be forked. So you force him back into this position:
If it is Black's move in this position he must seperate the King and Rook (since 1. ... Ra7 loses to 2. Qd8#) and will quickly get forked with a series of checks.
But what if it's White's move?... Then you deliberately lose a tempo in order to force Black onto the move:
Now we have the same position as before, but it is Black's move instead of White's!
No matter where the Rook goes, Black quickly gets forked after a short series of checks.
What happens with this is, against best defense it is extremely difficult to win, but at amateur level in practice the weak side often screws it up.
Exactly. It's especially worth knowing how to defend it because given the option a lot of players will trade down to it without hesitation thinking it's an easy win (which it is if the defender doesn't know what to do). So learn how to defend it and you might sometimes find a way to it and lead them to a nasty surprise. A bit like getting them down to N + B which no player has ever beaten me with (despite having increment).
Is there anyway to force a win with King and Queen vs King and Rook? I've tried a few times, against an engine, but haven't really made any progress. Is it a drawn or winning endgame?