He staggers a bit on the way, but leaning heavily on Steve does get him there; he even stays put once he's laying down, which says a lot about just how wrung out he is.

It's not hard to find the water, in part because it starts running before Steve even gets there; he can just follow his ears, and find a sinfully decadent bathroom. There's a basin sitting right next to the faucet, a stack of washcloths, and glass jars of soap.