Mr. Buchanan earns $20 in 1 hour.
To find how many hours he needs to earn $110, we can use the next proportion:
[tex]\frac{20\text{ \$}}{110\text{ \$}}=\frac{1\text{ hour}}{x\text{ hours}}[/tex]Solving for x,
[tex]\begin{gathered} 20\cdot x=1\cdot110 \\ x=\frac{110}{20} \\ x=5.5\text{ hours} \end{gathered}[/tex]He needs to work 5.5 hours.