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A busy bee (Posted on 2002-04-15) Difficulty: 3 of 5
A bicyclist starts his ride home from a point 10 miles away from his house going 5 miles per hour (assume the road is a perfect straight line). At the same time, a bee, initially sitting on his helmet (always wear your helmet!), takes off and flies toward the house at the speed of 15 miles per hour.

Upon reaching the house, the bee turns right around and flies back toward the bicyclist. When it reaches him it turns around again and flies back to the house. The bee keeps doing this until the man finally arrives at the house himself.

What total distance did the bee cover by that point in time?

See The Solution Submitted by levik    
Rating: 3.4545 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
dizzy, but not impossible | Comment 2 of 12 |

the bee's still only travelling 15mph and the bicyclist is only biking for 10mi / 5mph = 2 hours, so the bee may be doing a lot of turning, but it's still gonna travel 15mph x 2 hours = 30mi total. I mean, the situation is paradoxical if you think about it in a logical sense, but the distance itself has a limit.
  Posted by Carey on 2002-05-28 01:09:51
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