White to move and win FAST

[Chessqueen]

Please try to solve this puzzle by wining the fastest way without using any top engine

[pgn][Event "Rook + Pawn Endgame"]
[Site "DESKTOP-OFQ3C0P"]
[Date "2023.01.07"]
[Round "*"]
[White "Unknown"]
[Black "Unknown"]
[Result "1-0"]
[BlackElo "?"]
[Time "08:58:06"]
[WhiteElo "?"]
[TimeControl "600+10"]
[SetUp "1"]
[FEN "8/5k2/7r/R6p/1p6/7P/P5PK/8 w - - 0 1"]
[PlyCount "0"]
[WhiteType "human"]
[BlackType "human"][/pgn]

[Chessqueen]

This is another position to solve without using engine, please do NOT cheat. White to move and win
[pgn][Event "Pawn Endgame"]
[Site "DESKTOP-OFQ3C0P"]
[Date "2023.01.07"]
[Round "?"]
[White "Unknown"]
[Black "Unknown"]
[Result "1-0"]
[BlackElo "?"]
[Time "09:13:27"]
[WhiteElo "?"]
[TimeControl "600+10"]
[SetUp "1"]
[FEN "5k2/1p5p/p1p5/4p1p1/P3P3/3PP2P/1PP1K3/8 w - - 0 1"]
[Termination "unterminated"]
[PlyCount "0"]
[WhiteType "human"]
[BlackType "human"]

*[/pgn]

[Chessqueen]

I left Crystal running for 8 hours and it finally solved it ! Can another engine solve this puzzle ?
[pgn][Event "Computer chess game"]
[Site "DESKTOP-OFQ3C0P"]
[Date "2023.01.07"]
[Round "?"]
[White "Crystal.4.0.x64.avx2"]
[Black "Crystal.4.0.x64.avx2"]
[Result "1-0"]
[BlackElo "?"]
[Time "09:45:15"]
[WhiteElo "?"]
[TimeControl "1200+10"]
[SetUp "1"]
[FEN "8/8/8/1k3p2/p1p1pPp1/PpPpP1Pp/1P1P3P/QNK2NRR w - - 0 1"]
[Termination "unterminated"]
[PlyCount "0"][/pgn]