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This problem was posted on another site (I am paraphrasing):

A and B are initially 12 feet apart, and they wish to swap positions. A moves directly towards B's initial position without regard for social distancing, while B wishes to maintain a minimum distance of 6 ft. from A. Both move at the same constant speed/. What is the minimum distance B must travel?

I have worked on this for some 5 days now, to no avail. I have filled pages of calculations, all leading to a huge intractable mess. I would be interested in seeing your thoughts on this extremely interesting yet difficult problem.