You cannot wash your own cooking utensils in a public hotel sink.

The Law

Early health department regulations in Maryland tried to prevent the spread of foodborne illnesses in boarding houses and hotels. It was made illegal for guests to wash their personal dirty pots and pans in communal washbasins to prevent grease and bacteria from clogging public plumbing. It ensures that the sink meant for brushing teeth isn't doubling as a dishwasher.