I agree with Matt, John and Haley's answers, but would add that 'trip' also includes a person's activities at the destination. You can go on a shopping trip or a business trip; schools can arrange field trips for their students. We don't normally talk about shopping journeys, business journeys or field journeys (you would have to say 'journey to the shop', 'journey to the office', 'journey to the museum', etc).
If you ask someone, 'how was your journey?' you are probably asking about the journey itself, i.e. how was the process of travelling.
If you ask 'how was your trip?' you're probably enquiring about the objective of the trip as well as the process of getting there.
If you ask how someone's journey to the shop went, they should respond by talking about the process of travelling to the shop. If you ask how their shopping trip went, they might talk about the process of travelling, but they might also talk about their experience in the shop itself.
If someone has come to visit you in your home, you could ask them 'how was your journey?' i.e. how was the process of getting from their home to your home. But you wouldn't ask 'how was your trip?' as the trip would be ongoing (visiting you is the main part of the trip).