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yard work


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#1 BMAD

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Posted 26 April 2013 - 10:06 PM

Using the diagram below.  Assume that the lawnmower can only cut vertically and hortizontally.  It cuts 1 sq. foot per second.  You may begin anywhere on the black but must end at the front of the house (adjacent to the bottom of the home).  What is the best way to cut the grass?  Best defined by shortest time and assuming all of the grass is cut.

 

 

yardwork.png

 

 

**note: there is no grass in front of the house but the lawnmower needs to be brought to the front so that it may be put away.


Edited by BMAD, 26 April 2013 - 10:08 PM.

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#2 BMAD

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Posted 26 April 2013 - 10:19 PM

I forgot to mention, that every move (traveling a foot) counts as a second. Also every time you need to turn, add on a second (regardless of degree of turn)


Edited by BMAD, 26 April 2013 - 10:20 PM.

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#3 jordge

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Posted 02 May 2013 - 05:46 PM

Spoiler for Off the back of an envelope


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