ANSWER
About 180 square feet per man per minute
EXPLANATION
We want to find the space swept per man per minute in square feet.
To do this, first, we have to find the area of each corridor: (assuming that a corridor is a rectangle):
[tex]\begin{gathered} A=L\cdot B \\ A=12\cdot176 \\ A=2112ft^2 \end{gathered}[/tex]Since four corridors were swept, the area of the four corridors is:
[tex]\begin{gathered} A=4\cdot2112 \\ A=8448ft^2 \end{gathered}[/tex]Now, divide the area by the number of cleaners:
[tex]\begin{gathered} \Rightarrow\frac{8448}{2} \\ \Rightarrow4224ft^2\text{ per man} \end{gathered}[/tex]Finally, divide that by the number of minutes in which the corridors were swept:
[tex]\begin{gathered} \Rightarrow\frac{4224}{24} \\ \Rightarrow176ft^2 \\ \approx180ft^2\text{ per man per minute} \end{gathered}[/tex]Hence, about 180 square feet of space was swept per man per minute.
