Renee can sew a 25 square-foot quilt in 16 hours. gerena can sew the same size quilt in 12 hours. how long will it take them to sew the quilt working together?

This kind of problem assumes that the two people working together work for the same amount of time.

Renee can sew a quilt in 16 hours, so she can sew 1/16 of a quilt each hour. Gerena sews a quilt in 12 hours, so she can sew 1/12 of a quilt each hour.

Use the variable t represent the time Renee and Gerena work together (measured in hours). The part of a quilt Renee sews is . the part of the quilt that Gerena sews is

Together, they sew one quilt, so

Multiply all the terms by 48 (the Least Common Multiple of 16 and 12).

hours.