In British Chess Magazine in 1999, Grandmaster Ian Rogers put some two rooks vs. queen studies out there that were quite a challenge. The studies were by Rinck, and Rogers pointed out how he used the ideas to help win practical games. We’ll start with a relatively easy one.
White wins with a waiting move. Either f1 or f2 work as they both stay away from annoying queen checks, then White wins the queen and the game no matter where the queen goes: 1.Kf1 Qa8 [1...Qg3 2.Re8+] 2.Rh7+ Kg8 3.Reg7+ Kf8 4.Rh8+