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?

Question

anonymous · Answer

options are
1. 6 hours 
2. 6 6/7 hours
3. 8 6/7 hours
4. 28 hours

***[isuru]*** · Answer

hi,
 first u have to find the rate at which renee saw the quilt
      rate = 25 / 16  square - foot quilt per hour

then do the same for Genera
     rate = 25/12 square - foot quilt per hour

   If they work together the the will able to saw an area of
             ( 25/16 + 25/12 ) quilt per hour

now the total area to saw is 25 ..
 and we know the rate at both of them will saw...

 So to find the duration .. we have to divide the area by the rate at which they saw..

           $$25\div(\frac{ 25 }{ 16 } +\frac{ 25 }{ 12 })$$
$$\frac{ 25(12\times16) }{ 25(12 + 16) }$$$$\frac{ 192 }{ 28 } = 6 \frac{ 6 }{ 7 }$$

Hope this will help ya!!!

anonymous · Answer

thank you!

***[isuru]*** · Answer

u r welcome!!