SOLUTION: natalie and lindsey can fold 300 chairs in 10 minutes. How long does it take natalie to fold 300 chairs if she works twice as fast?

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Question 743357: natalie and lindsey can fold 300 chairs in 10 minutes. How long does it take natalie to fold 300 chairs if she works twice as fast?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
natalie and lindsey can fold 300 chairs in 10 minutes. How long does it take natalie to fold 300 chairs if she works twice as fast?
Suppose Natalie can do 1 folding job in x minutea. Then her rate is
1 folding job per x minutes or 1_folding_job%2Fx_min or 1%2Fxfolding_job%2Fminute

Natalie works twice as fast as Lindsey, so Lindsey takes twice as
long as natalie so her rate is 1 folding job per 2x minutes or
1_folding_job%2F%282x_min%29 or 1%2F%282x%29folding_job%2Fminute.

>>natalie and lindsey can fold 300 chairs in 10 minutes.<<

Then their combined rate is 1 folding job per 10 minutes or 1_folding_job%2F10_min or 1%2F10folding_job%2Fminute

The equation comes from:

%28matrix%284%2C1%2C%0D%0A%0D%0A%22Natalie%27s%22%2C+folding%2Cjob%2Crate%29%29%22%22%2B%22%22%28matrix%284%2C1%2C%0D%0A%0D%0A%22Lindsey%27s%22%2C+folding%2Cjob%2Crate%29%29%22%22=%22%22%28matrix%285%2C1%2C%0D%0A%0D%0ATheir%2C+combined%2C+folding%2Cjob%2Crate%29%29

  1%2Fx%22%22%2B%22%221%2F%282x%29%22%22=%22%221%2F10

Solve that by multiplying through by LCD of 10x.

Answer It will take Natalie 15 minutes.

Edwin