SOLUTION: Linda can stuff 1000 envelopes in 6 hours. If Laura helps her, they can both stuff 1000 envelopes in 5 � hours. How long would it take Laura to stuff 1000 envelopes by herself?

Question 209840: Linda can stuff 1000 envelopes in 6 hours. If Laura helps her, they can both stuff 1000 envelopes in 5 � hours. How long would it take Laura to stuff 1000 envelopes by herself?

Answer by ptaylor(2198) (Show Source): 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.

Hope this helps---ptaylor

RELATED QUESTIONS
Linda can stuff 1000 envelopes in 6 hours. If Laura helps her, they can both stuff 1000... (answered by ankor@dixie-net.com)

Linda can stuff 1000 envelopes in 6 hours. If Laura helps her, they can both stuff 1000... (answered by ankor@dixie-net.com)

Linda can stuff 1000 envelopes in 6 hours. If Laura helps her, they can both stuff 1000... (answered by richwmiller,scott8148)

Linda can stuff 1000 envelopes in 6 hours. If Laura helps her, they can both stuff 1000... (answered by edjones)

James can stuff 1000 envelopes in 5 hours. Susan can stuff 1000 envelopes in 3 hours. How (answered by ptaylor,themathprof)

Envelope stuffing. Every week, Linda must stuff 1000 envelopes. She can do the job by... (answered by mananth)

Jane can stuff 1,000 lobsters in 6 hrs. When her brother helps her, they can stuff 1000... (answered by rajagopalan)

Suppose Marco can stuff envelopes twice as fast as his friend Polo. Together, they can... (answered by josmiceli)

You stuffed 108 envelopes in 45 minuets. At this rate how many envelopes can you stuff in (answered by ewatrrr)