This is a tricky question. Before you start to think about your answer, you should ask yourself: Will there be any business trips in this job?
(Job description should help you finding the answer)
When we were interviewing women for secretary positions in our recruitment agency, we used this question every time, regardless of the actual need to go for business trips.
If the candidate got very excited about the question, saying how they would love to travel and enjoy this part of a job, but it wasn’t really meant to be the part of their job, in most cases we did not hire them.
Why? Simply because they would not be happy in their job. They expected something more than the position could offer them.
Some other applicants got offended with the question. They imagined everything one can imagine when they hear “accompanying boss on business trips”.
Needless to say, these candidates were not hired, doesn’t matter if business trips belonged to their job or not. It is a common thing to accompany a boss on a business trip, and it is work – nothing else, nothing more, nothing less.
Flexibility in question
Your answer to this question says a lot about your flexibility. If you say you can not accompany the boss, because you need to be at home at 4pm every day (for example because you have kids), it sends us a sign about lack of flexibility.
It doesn’t necessarily have to be a problem–sometimes the working hours are steady, and you can leave your job exactly at three each afternoon. But in some cases it can be a problem…
All in all, this is not an easy question to answer, especially when you have no idea whether the business trips belong to the job, or not, what the working hours are, etc.
What I suggest you to do is to pick a neutral answer. Do not get too excited about the proposition of traveling. Just say that you would not mind accompanying boss on trips, if it was a part of your job. Later on, when you already have a job, you can still refuse accompanying them. As I already said, you do not need to stick to the promises you made in your job interview.
I did not think about this aspect of the job so far. However, if it was needed, and if my professional assistance was useful for the boss on a business trip, I would not mind accompanying them.