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(6)/(7)\text{ hours}`

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 :-

`(1)/(T)=(1)/(x)+(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 :-

`(1)/(T)=(1)/(16)+(1)/(12)\\\\Rightarrow\\frac{1}{T}=(7)/(48)\\\\\Rightarrow\ T=(48)/(7)=6(6)/(7)`

Hence, the time taken to sew the quilt working together =
`6(6)/(7)\text{ hours}`