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 email@example.com (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