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2 minutes
1. Rh4+ Kg7 2. Rh7+ Kxh7 3. Qh5+ Kg7 4. Qg6#
15 seconds
About 20 seconds total- 1.Rh4 is almost instantaneous, 2.Rh7 just only a little slower to spot, but motivated by the right idea which was a queen check from h5.