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Answer to this week's riddle

Again, the riddle:  Fred, Jim, and Laura all set off down a road.  Jim and Laura can walk at a top speed of 2 mph, and Fred can walk at a top speed of 4 mph.  There is also a single bicycle which Jim and Laura can ride at 12 miles per hour and Fred can ride at 16 miles per hour (one cyclist at a time).  What is the minimum amount of time for all three to travel 10 miles down the road?

 

 Answer: This is the rare math puzzle that's actually a bit MORE complicated than it seems.  It takes the use of linear programming to get to a solution of 2.75 hours.  See http://www.rec-puzzles.org/index.php/BicycleAnswer for more.


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