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 One-sixteenth x Genera One-twelfth x 6 hours 6 and six-sevenths hours 8 and six-sevenths hours 28 hours

Step-by-step explanation:

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 One-sixteenth x Genera One-twelfth x 6 hours 6 and six-sevenths hours 8 and six-sevenths hours 28 hours

This is calculated as:

1/ number of hours for Renee + 1/ number of hours for Geneva = 1/ Total number of hours that they can do it together

= 1/16 + 1/12 = 1/T

Lowest common denominator = 192

= 12 + 16/192 = 1/T

= 28/192 = 1/T

Cross Multiply

28T = 192 × 1

T = 192/28

T = 6 24/192 hours

d

step-by-step explanation:

step-by-step explanation: