SOLUTION: Mrs.Hughs can make a quilt in 3 days. Mrs. Keely takes 4 days to make a quilt. They decide to work together. How many days will it take them both to make 35 quilts.

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Question 389749: Mrs.Hughs can make a quilt in 3 days. Mrs. Keely takes 4 days to make a quilt. They decide to work together. How many days will it take them both to make 35 quilts.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

Let x represent the time it will take them to make a quilt working together

Question State.  Per day being the equalizer

 1/3 + 1/4 = 1/x  multiplying each term by 12x so as all denomoinators= 1

 4x + 3x  = 12

     7x = 12

      x = 12/7 OR 1 5/7, the days it takes to make 'one' together

Making 35 Quilts working together... would take 35*12/7 = 60 days