SOLUTION: Lorna can arranged the catalog card in the library in 8 days.Her assistant takes 12 days to do it.If they work together,what part of the card catalog is arranged after four daye?

Question 1144143: Lorna can arranged the catalog card in the library in 8 days.Her assistant takes 12 days to do it.If they work together,what part of the card catalog is arranged after four daye?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
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Lorna can arranged the catalog card in the library in 8 days.Her assistant takes 12 days to do it.
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Combined rate in job per day:

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what part of the card catalog is arranged after four days?
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Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Lorna can do the whole job in 8 days; so in 4 days, she can do 4/8 = 1/2 of the job.

Her assistant can do the whole job in 12 days; so in 4 days, she can do 4/12 = 1/3 of the job.

In 4 days together, the fraction of the job they can do is 1/2+1/3 = 3/6+2/6 = 5/6.
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