Jim and his dad are bricklayers. Jim can lay bricks for a fireplace and chimney in 5 days. With his father's help he can build it in 2 days. How long would it take his father to build it alone?

Answer:[tex]3\frac{1}{3}\ days[/tex]Step-by-step explanation:we know thatJim can do the work in 5 dayssoThe 100% of the work in 5 daysby proportionFind out how much can do in 2 daysLetx ----> the percentage of the work in 2 days[tex]\frac{100\%}{5}=\frac{x}{2}\\\\x=100(2)/5\\\\x= 40\%[/tex]Remember thatJim and his dad can do the work in 2 dayssoThe 100% of the work in 2 daysJim in 2 days can do 40% of the workthereforeHis dad in 2 days can do (100%-40%)=60%by proportionFind out how long would it take his father to build it aloneLetx -----> the time it take his father to build it alone[tex]\frac{2}{60}\frac{days}{\%}=\frac{x}{100}\frac{days}{\%}\\\\x=100(2)/60\\\\x=\frac{10}{3}\ days[/tex]Convert to mixed number[tex]\frac{10}{3}\ days=\frac{9}{3}+\frac{1}{3}=3\frac{1}{3}\ days[/tex]