FLVSKidd
  • FLVSKidd
Max and Maggie have to clean the house. It takes Max 12 hours to clean the house, while Maggie can complete the task in 4 hours. Their sister says that it will take 3 hours to complete if they work together. Explain each step in solving this equation, and determine if the sister is correct or not.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
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anonymous
  • anonymous
you want the quick answer?
FLVSKidd
  • FLVSKidd
i think my teacher would want an explanation
anonymous
  • anonymous
Good answer kid.

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More answers

anonymous
  • anonymous
using only the numbers given, 12 and 4, it will take them \[\frac{12\times 4}{12+4}\] hours to do it if you really want to impress your teacher, show where this easy answer comes from
anonymous
  • anonymous
it is the reciprocal of what you get when you add the fraction one has rate \(\frac{1}{12}\) the other has rate \(\frac{1}{4}\) their combined rates is what you get when you add them, namely \[\frac{1}{12}+\frac{1}{4}=\frac{12+4}{12\times 4}\]
anonymous
  • anonymous
you then want to see how long it takes to complete ONE job (this is usually the confusing part) , in other words solve \[\frac{12+4}{12\times 4}T=1\] for \(T\) btw you can compute that number at any stime
anonymous
  • anonymous
solve for \(T\) via \[T=\frac{12\times 4}{12+4}\]
FLVSKidd
  • FLVSKidd
T = 48/16
anonymous
  • anonymous
reduce to make it look nicer

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