+0  
 
+3
1902
8
avatar+146 

renee can sew 25-square feet of quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long will it take them to sew the quilt working together?

 Jul 9, 2014

Best Answer 

 #5
avatar
+14

Renee can sew at a rate of 1.5625 square feet per hour (25 divided by 16).

Genera can sew at a rate of 2.0833 square feet per hour (25 divided by 12).

The assumption is that the two are able to sew at the same rates when working together, making the total sewing rate 3.6458 square feet per hour (summing the two).

25 divided by 3.6458 gives a required sewing time of 6.86 hours.

 Jul 9, 2014
 #1
avatar+8261 
0

I think it is 28 hours, or 1 day and 4 hours.

 Jul 9, 2014
 #2
avatar+839 
+3

But divide that by two cuz there are two people so it would be 14?

 Jul 9, 2014
 #3
avatar+146 
+3

this is algebra 2 work lol its never that simple XD

 Jul 9, 2014
 #4
avatar+839 
+3

Thats what I thought... hmmmm

 Jul 9, 2014
 #5
avatar
+14
Best Answer

Renee can sew at a rate of 1.5625 square feet per hour (25 divided by 16).

Genera can sew at a rate of 2.0833 square feet per hour (25 divided by 12).

The assumption is that the two are able to sew at the same rates when working together, making the total sewing rate 3.6458 square feet per hour (summing the two).

25 divided by 3.6458 gives a required sewing time of 6.86 hours.

Guest Jul 9, 2014
 #6
avatar+3453 
+3

Nice answer aynonymous.

I was personally stumped on that one myself. :)

 Jul 9, 2014
 #7
avatar+146 
+8

thanks for the help anon you should make an account and help us out more

 Jul 10, 2014
 #8
avatar+128089 
+8

Here's an easy way to solve this type of problem.

Just add 1/16 and 1/12 = 28/192

Now...."flip" the fraction over

192/28 = 6.86 hrs.   !!!

And there you go.....

 

 Jul 10, 2014

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