If your opponent cannot do anything active, then don't rush the position; instead you should let him sit there, suffer, and beg you for a draw.
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[Event "rated untimed match"] [Site "?"] [Date "????.??.??"] [Round "?"] [White "Unknown"] [Black "Unknown022"] [Result "0-1"] [Annotator "David Hayes"] [BlackElo "0"] [FEN "8/6p1/3K4/5p2/2k2P2/6P1/8/8 b - - 0 1"] [SetUp "1"] [TimeControl "0"] [WhiteElo "0"] { Distant Opposition Wins } 1... Kd4 2. Ke7 { A trick. } 2... Ke3 { Black achieves distant opposition to white king. Distant opposition allows the second player to move the option to achieve direct opposition.|Whoever attacks an opponent's pawn first loses. } ( { Black can try: } 2... Ke4 3. Ke6 Kf3 4. Kxf5 Kxg3 5. Kg5 g6 6. f5 gxf5 7. Kxf5 { Draw. } ) 3. Ke6 ( { White can try: } 3. Kf7 Kf3 4. Kxg7 Kxg3 5. Kf6 Kxf4 { Black will promote his pawn and win. } ) 3... Ke4 4. Kf7 Kf3 5. Kxg7 Kxg3 6. Kg6 Kxf4 7. Kf6 Ke4 8. Kg5 f4 9. Kg4 f3 10. Kg3 Ke3 11. Kh2 f2 12. Kg2 Ke2 13. Kg3 f1=Q { Black wins with a large material advantage. } 0-1