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?
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.
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.