A Math Forum Project

Geometry Forum Problem of the 
Week

    The Camper and the Burning Tent - Jan. 3-7, 1994

    A camper is off picking berries. He is strolling along, bucket full of berries in hand, when he sees that his tent is on fire. Luckily, he is near a river, so he can run to the river, fill his bucket with water, and run to the tent to put the fire out. The question: Where should he go along the bank of the river should he fill the bucket to make his trip as short as possible and have the greatest chance of saving his tent?

                                                            
X                                                           <br>
Camper with bucket                                          <br>
\                                                           <br>
 \                                              Y           <br>
  \ Possible route                     _______/ Burning tent<br>
   \                    ______________/                     <br>
    \        __________/                                    <br>
     \  ____/                                               <br>
______\/___________________________________________________ <br>
River                                                       <br>

Of course, the route back to the tent should be a straight line.
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2 July 1995