Answer:
Wall space between two junction boxes is
Step-by-step explanation:
We are given the following information:
Length of wall = 12 foot = 144 inches
Length of Junction box = ![4\displaystyle\frac{11}{16}\text{ inches}](https://tex.z-dn.net/?f=4%5Cdisplaystyle%5Cfrac%7B11%7D%7B16%7D%5Ctext%7B%20inches%7D)
There are two junction boxes to be arranged.
Total length of junction boxes = ![8\displaystyle\frac{11}{16}\text{ inches}](https://tex.z-dn.net/?f=8%5Cdisplaystyle%5Cfrac%7B11%7D%7B16%7D%5Ctext%7B%20inches%7D)
Space left:
![\text{Length of wall} - \text{Length of junction boxes}\\= 144 -8\displaystyle\frac{11}{16}\\= \displaystyle\frac{2154}{16}](https://tex.z-dn.net/?f=%5Ctext%7BLength%20of%20wall%7D%20-%20%5Ctext%7BLength%20of%20junction%20boxes%7D%5C%5C%3D%20144%20-8%5Cdisplaystyle%5Cfrac%7B11%7D%7B16%7D%5C%5C%3D%20%5Cdisplaystyle%5Cfrac%7B2154%7D%7B16%7D%20)
Now, this left space have to be distributed in three equal part so that the arrangement could be of the form: space, junction box, space, junction box, space.
Space = ![\displaystyle\frac{2154}{16} \div 3=\displaystyle\frac{2154}{48} = 44\displaystyle\frac{7}{8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B2154%7D%7B16%7D%20%5Cdiv%203%3D%5Cdisplaystyle%5Cfrac%7B2154%7D%7B48%7D%20%3D%2044%5Cdisplaystyle%5Cfrac%7B7%7D%7B8%7D)
Hence, wall space between two junction boxes is ![44\displaystyle\frac{7}{8}\text{ inches}](https://tex.z-dn.net/?f=44%5Cdisplaystyle%5Cfrac%7B7%7D%7B8%7D%5Ctext%7B%20inches%7D)