You want to conduct a tour of this museum:

A-B-C
| | |
D-E-F
| | |
G-H-I
| | |
J-K-L

You want to walk through all the hallways once. What would be the least amount of walking you would need to do (each hallway is a kilometer long) to cover all the hallways at least once? (You can start and stop anywhere.)

beginning at D follow this route:-

D-E-H-G-D-A-B-E-B-C-F-E-F-I-H-I-L-K-H-K-J-G

21 KILOMETERS

this means that 4 paths are used twice.

 

Edited on June 4, 2004, 9:34 am

Posted by Juggler on 2004-06-04 09:28:35