SOLUTION: Linda can stuff 1000 envelopes in 6 hours. If Laura helps her, they can both stuff 1000 envelopes in 5 ½ hours. How long would it take Laura to stuff 1000 envelopes by herself?
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-> SOLUTION: Linda can stuff 1000 envelopes in 6 hours. If Laura helps her, they can both stuff 1000 envelopes in 5 ½ hours. How long would it take Laura to stuff 1000 envelopes by herself?
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Question 209840: Linda can stuff 1000 envelopes in 6 hours. If Laura helps her, they can both stuff 1000 envelopes in 5 ½ hours. How long would it take Laura to stuff 1000 envelopes by herself?
You can put this solution on YOUR website! Let x=amount of time it takes Laura to stuff 1000 envelopes by herself
Then Laura stuffs at the rate of 1000/x envelopes per hour
Linda stuffs at the rate of 1000/6 envelopes per hour
Together Laura nad Linda stuffs at the rate of 1000/5.5 envelopes per hour
So our equation to solve is:
1000/6 + 1000/x=1000/5.5 divide each term by 1000
1/6+1/x=1/5.5 multiply each term by 33x
5.5x+33=6x subtract 5.5x from each side
33=6x-5.5x
0.5x=33 divide each side by 0.5
x=66 hours -------amount of time it takes Laura to stuff 1000 envelopes
CK
1/6 + 1/66=1/5.5
11/66 + 1/66=1/5.5
12/66=1/5.5
1/5.5=1/5.5
WOW!!!! Laura is Slooooooooooooow.
