Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together? Rate (Quilts per Hour) Time (Hours) Fraction Completed Renee 1 over 16 x Genera 1 over 12 x

Renee’s rate is 1/16 of a quilt per hour, and Genera’s rate is 1/12 of a quilt per hour. Working together, their rate is 1/16 + 1/12 = 3/48 + 4/48 = 7/48 of a quilt per hour. The time to sew one quilt is 1 ÷ (7/48) = 48/7 = 6 6/7 hours, so the answer is “6 and 6 sevenths hours.”

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