This is a very famous puzzle that many of you would have seen in the past as well. I saw it recently in one of the Martin Gardner books again, but am reproducing it here from a New York Times article from September 8, 2014.
Please look at the figure above. Four bugs are at the corners of a square which has each side measuring 10 inches. Each bug moves directly towards its neighbour as indicated in the arrows. How long does each bug travel before they meet? Please note that you do not need to know calculus to be able to compute the answer.
As always, please send your answers as comments within the blog (preferred), or send an e-mail to firstname.lastname@example.org. Please do share the puzzle with others if you like, and please also send puzzles that you have come across that you think I can share in this blog.