Answer:
[tex]3\frac{1}{3}\ days[/tex]
Step-by-step explanation:
we know that
Jim can do the work in 5 days
so
The 100% of the work in 5 days
by proportion
Find out how much can do in 2 days
Let
x ----> the percentage of the work in 2 days
[tex]\frac{100\%}{5}=\frac{x}{2}\\\\x=100(2)/5\\\\x= 40\%[/tex]
Remember that
Jim and his dad can do the work in 2 days
so
The 100% of the work in 2 days
Jim in 2 days can do 40% of the work
therefore
His dad in 2 days can do (100%-40%)=60%
by proportion
Find out how long would it take his father to build it alone
Let
x -----> 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]
