Let us suppose Huck can paint the fence in x hours.
The amount of work completed by Huck in 1 hour [tex]=\frac{1}{x}[/tex]
The amount of work completed by Tommy in hour [tex] =\frac{1}{4}[/tex]
Now, we have been given that both of them can complete the work in 1 hour. Therefore, we have
[tex]\frac{1}{4} +\frac{1}{x}=1\\ \\ \frac{1}{x}= 1-\frac{1}{4}\\ \\ \frac{1}{x}=\frac{3}{4}\\ \\ x=\frac{4}{3}[/tex]
Hence, Huck can pain the fence in 1 hour 20 minutes.
