Maybe I am misunderstanding. Do you drive for free? If you have to drive somewhere that gets billed to the client.
This is totally normal, I work in a metro area adjacent to another. If I drive across state the person is paying for that hourly. If I could sit on a train instead someone would be paying to have me on the train, hourly, and if I was doing work that would also be billed hourly (I'd try to do work for the client that made me travel but not always possible).