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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

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