Question

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?

Answer 1

Answer: $6\dfrac{6}{7}\text{ hours}$

Step-by-step explanation:

We know that if A takes time x and B time y to do a job individually, then the total time taken both of them if they work together is given by :-

$\dfrac{1}{T}=\dfrac{1}{x}+\dfrac{1}{y}$

According to the given question, substitute x= 16 and y= 12 in the above equation, we get the total time taken to sew the quilt working together is given by :-

$\dfrac{1}{T}=\dfrac{1}{16}+\dfrac{1}{12}\\\\Rightarrow\\dfrac{1}{T}=\dfrac{7}{48}\\\\\Rightarrow\ T=\dfrac{48}{7}=6\dfrac{6}{7}$

Hence, the time taken to sew the quilt working together = $6\dfrac{6}{7}\text{ hours}$