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 "Unknown21"]
[Result "0-1"]
[Annotator "David Hayes"]
[BlackElo "0"]
[FEN "8/8/5R1P/8/8/8/3r4/K1k5 w - - 0 1"]
[SetUp "1"]
[TimeControl "0"]
[WhiteElo "0"]
1. h7 Rh2 ( { Black can try: } 1... Rd8 2. Rc6+ Kd2 3. Rd6+ Rxd6 4. h8=Q { White wins with a large material advantage. } ) 2. Rf1+ Kd2 3. Rf2+ Rxf2 4. h8=Q { White wins with a large material advantage. } 0-1