Are you interested in traveling together?

Would you like to travel with me?

Translation can't just follow the literal meaning, but if you must follow the statement of whether you are interested or not, you can translate it into,

Are you interested in traveling with me? But I think literal translation is not very good. One more thing, travelIng plus ing can be written as a double L or a single L, because this is the difference between British English and American English.

Hope to adopt, thank you.