The average room takes 2 loads of laundry, which would be in the neighborhood of 10kw of electricity. 1 gallon of gas represents the same energy (ignoring losses) as 33kw.

The average 2017 car in the US got 25mpg. So with a 15+mpg difference, you'd need to either drive 5 miles or less per day (0.3g difference), OR average 100 miles per day and have the hotels wash the laundry 20x as much.