Let's talk about K+Q vs K+R, okay ?

Take a good look at this and let's figure out what Black hasta do for a stalemate and what White hasta do to force a win.

This is not so easy for White and it seems much easier for Black to make a 50-mover or a stalemate trick.

Here is a classic little trick to remember....Black to move and draw.

I have never had this come up in any game I have ever played. TBH I thought it was a draw until I just checked on a tablebase. It would seem that White's aim is just to check Black a lot until he can force a fork (or a mate). I have no idea what Black's aim is.

If I'm Black, I could end up succumbing to something called Philidor's Position. But (and I do mean but) that means White still has some work to do.

I believe.

Yes, even if it is a theoretical win Capablanca said once is tougher than the K+B+N vs. K endgame. But I've read from several masters in practice is more likely the defender get wrong and make a mistake, unless it is a computer.

B+N? Isn't that super easy? Obviously I have never studied it, what a ridiculous waste of time, but just use your knight to gaurd the squares that the bishop can't and gg...

This can be alot more common that people think. Here's a way to get into this thingy.

Black to move....

I tried to learn it one time (not just the philidor) but it's very hard.

A lot of the Queen moves are counterintuitive. It's also the kind of endgame that you will never learn to win against a computer.

I guess Rd8 and then White can't defend his pawns. Obviously the first one should be a given to anybody who ever used the tactics trainer on this website at all ever.

Dumb board screwed up my comment...

My point in #8 is don't give up 'cuz you're gonna go n2 a Q vs R ending. It's way harder than you think if they haven't practiced it.

Alotta Master's don't know it ! And they'll might not be able to figure it out OTB.

So....take the pawn w/ your Rook, don't worry too much,  keep your Rook by your King, and go for that one stalemate trick. 

...and this one too. White to move.

Oh lol, then you need to edit your diagram so that the White King is on a square protected from checks such as f4 because as things stand, Rd8 just wins for Black.

You're right. I'll do it now.

It doesn't look that hard.

I'm thinking that voluntarily separating K + R is a big mistake as in 3...Re1.

....and keeping your Rook in front of your King without it getting pinned is a really good defense.

In case there's anyone that hasn't looked it up yet, White can mate in 23 moves. (The longest mate for queen against rook is 31 moves.) The best play for both sides goes like this:

1. Ke4 Kf6 2. Qc3+ Kg5 3. Qe5+ Kg6 4. Qe6+ Rf6 5. Qg4+ Kh6 6. Ke5 Rb6 7. Qd4 Rg6 8. Qh4+ Kg7 9. Qe7+ Kg8 10. Kf5 Rh6 11. Qd7 Kf8 12. Kg5 Rh1 13. Qc8+ Kf7 14. Qb7+ Ke6 15. Qxh1 Kd6 16. Qe1 Kd5 17. Qc3 Kd6 18. Qc4 Kd7 19. Qc5 Kd8 20. Qa7 Kc8 21. Kf6 Kd8 22. Qb7 Ke8 23. Qe7#

Rf6!=