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Problem of the Week, January 3-7
Posted:
Jan 3, 1994 12:00 PM
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The problem of the week is a regular installment here at the geometry forum.
Each weekend a high school level geometry problem will be posted, and the
following weekend a summary of solutions and their authors will be posted.
Please do not post solutions to the problem of the week; instead mail your
answer along with as detailed a description of your method as
necessary/possible to pow@forum.swarthmore.edu (replying to this message
will also work). Solutions should be received by midnight Friday so they
can be combined and posted over the weekend.
Please include your name, grade, and school along with your answer.
******************************
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 greates chance of saving his tent?
X
Camper with bucket
\
\ Y
\ Possible route _______/ Burning tent
\ ______________/
\ __________/
\ ____/
______\/___________________________________________________
River
__________________________________________________________
Of course, the route back to the tent should be a
straight line.
******************************
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