SOLUTION: Two towns A nd B are 3 miles apart. They want to build a new school to serve 200 students from A and 100 students from B. How far from A should the school be built if the toital di

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Question 173818: Two towns A nd B are 3 miles apart. They want to build a new school to serve 200 students from A and 100 students from B. How far from A should the school be built if the toital distance traveled by all 300 students is the smallest possible?
Answer by stanbon(48558) About Me  (Show Source):
You can put this solution on YOUR website!
Two towns A nd B are 3 miles apart. They want to build a new school to serve 200 students from A and 100 students from B. How far from A should the school be built if the total distance traveled by all 300 students is the smallest possible?
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The more students there are, the closer they should be to the school.
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The 200 from A should be (1/3) the distance to the school, or 1 mile.
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The 100 from B should be (2/3) the distance to the school, or 2 miles..
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Cheers,
Stan H.