A busy bee Here's the easy part: http://www.flooble.com/perplexus/show.php?pid=11 (Most of you have probably seen this before) But what about this one, with the same setup? http://www.flooble.com/perplexus/show.php?pid=31 levik Saturday, April 27, 2002 it has to be facing the house, because if it turns around then that implies the biker is not at the house yet and it still has a distance to fly back to the biker of course, the bee is also traveling three times faster than the biker, so that means everytime the bee leaves the biker's helmet, it will beat the biker back to the house (even by some extremely small amount).  Since it beat the biker to the house it must turn around to go back to the biker, meaning they will again intersect at some point away from the house and repeat the cycle, so we get a nice little paradox if the bee is facing the house, then that implies it arrived at the exact same time as the biker, which is theoretically impossible if the bee is facing away, then that implies the biker is not yet at the house So if there is an answer to this, then i believe it's that the bee is facing the house.it has to be facing the house, because if it turns around then that implies the biker is not at the house yet and it still has a distance to fly back to the biker of course, the bee is also traveling three times faster than the biker, so that means everytime the bee leaves the biker's helmet, it will beat the biker back to the house (even by some extremely small amount).  Since it beat the biker to the house it must turn around to go back to the biker, meaning they will again intersect at some point away from the house and repeat the cycle, so we get a nice little paradox if the bee is facing the house, then that implies it arrived at the exact same time as the biker, which is theoretically impossible if the bee is facing away, then that implies the biker is not yet at the house So if there is an answer to this, then i believe it's that the bee is facing the house. Dave Schnizlein Saturday, April 27, 2002 oops, somehow put it down twice Dave Schnizlein Saturday, April 27, 2002 I don't think there is an answer to this one. The original question pretty much assumes an infinitely thin bee, and the flight of the bee forms a convergent series. Maybe it's a trick question and the answer is that the bee gets squashed and therefore isn't facing anywhere! Paul Viney Paul Viney Sunday, April 28, 2002   Fog Creek Home