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Word Problem Help. Int-algebra

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    Word Problem Help. Int-algebra

    I cant figure out how to layout this problem. I went the math lab on campus and the tutor kind of just gave up and went home early. Please help, I have a test on Tuesday. Here it is.

    One pipe can fill a pond in 3 weeks, and a second pipe can fill it in 5 weeks. How ever, evaporation and seepage can empty the pond in 10 weeks. If both pipes are used, how long will it take to fill the pond?

    What I think I know so far is that you break the work down into fractions of what each pipe does in a week. Pipe 1 fills 1/3 of the pond in one week, pipe 2 fills 1/5 of the pond in one week. Evaporation and seepage removes 1/10 of the contents per week. How do I lay it out correctly to equal 1 full pond in terms of how long it took to fill it up?

    The answer according to the back of the book is 2 and 4/13 weeks.
    Last edited by rhE-30; 11-09-2012, 04:04 PM.

    #2
    Well it's like dis biotch
    1 week for pipe 1 is 1/3
    1 week for pipe 2 is 1/5
    1 week for evap is 1/10
    so add (1/3+1/5)-1/10=production
    this gives you how much both can produce a pond together with evap for 1 weeks of work
    then you make your equation
    you want to know how long FOR 1 POND so....
    1 (POND)=production * time
    you know 1 POND and production therefore solve for time
    wala

    edit was to add more detail
    Last edited by Thizzelle; 11-09-2012, 05:14 PM.
    "I wanna see da boat movie"
    "I got a tree on my house"

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      #3
      13/30*t=1, hmm, I thought it was more complicated than that.

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