Yes, student needs to pay
If the lesson is is outside my teaching area, the student needs to pay for my transport costs from my closest station. However, if it is within my area, students are not required to pay for my transport.
I have just graduated from the University of Cambridge. I studied Classical Latin and Greek, history and philosophy. I am spending the next year in Fukuoka learning Japanese at JUE and teaching English. In terms of lessons, I am very adaptable to the student's wishes. Classes can be more or less structured. For example reading through a book or article for discussion or teaching of grammatical points. I have wide interests: cooking, fitness, culture and literature. I am keen to learn about Japan and share my knowledge of England.