We arrived about 5:30 am after traveling for ~24 h...

We arrived about 5:30 am after traveling for ~24 hours. (I can't sleep on planes!) We were offered a spot in the open-air lounge or in the breakfast room by the girls at desk on night shift (they said our rooms wouldn't be ready until late afternoon) but it was freezing and we were exhausted. When the day desk clerks came on, I sobbed and begged them for a room, as I could see people checking out. The girls felt sorry for us and not only got our rooms (just 2) ready, they also sent us to bed with hot water bottles! That's hospitality! Staff did laundry for us after hiking the Incan Trail. Beautiful hotel, very close to Plaza and restaurants. Since this trip, my husband makes sure to reserve a room the night before early morning arrivals so we don't have to wait. Same thing happened to us in London after a red-eye flight a couple of years earlier.