Brett spends 55 minutes washing 2 doors, we must find the minutes it would take to wash 17 doors.
We will first find out when it takes time to wash a door.
We will call x the time it takes to wash a door
[tex]x=\frac{55}{2}=27.5[/tex]Knowing x, we multiply the time it takes to wash one door by the 17 doors to find the minutes corresponding to washing 17 doors.
We will call y the time it takes to wash 17 doors
[tex]\begin{gathered} y=17x \\ y=17\cdot2705 \\ y=467.5 \end{gathered}[/tex]The answer is 467.5 minutes