White plays and wins in 4 moves https://lichess.org/h00WKuys
- Rb1 Rd7 2. Kxd7 Ka7 3. Kc6 Ka8 4. Ra1#
The analysis board does checkmate in 5 moves
- Re1 Rf7 2. Re8+ Ka7 3. Bc5+ Ka6 4. Ra8+ Ra7 5. Rxa7#
Source:
https://www.amazon.com/Chess-Puzzles-Advanced-Expert-Level/dp/B0917YQZP1