Question

Two cleaners swept four corridors in 24 minutes. Each corridor measures 12‘ x 176‘. The space swept per man per minute was most nearly how many square feet?

Answer 1

About 180 square feet per man per minute

Step-by-step 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):

`\begin{gathered} A=L\cdot B \\ A=12\cdot176 \\ A=2112ft^2 \end{gathered}`

Since four corridors were swept, the area of the four corridors is:

`\begin{gathered} A=4\cdot2112 \\ A=8448ft^2 \end{gathered}`

Now, divide the area by the number of cleaners:

`\begin{gathered} \Rightarrow(8448)/(2) \\ \Rightarrow4224ft^2\text{ per man} \end{gathered}`

Finally, divide that by the number of minutes in which the corridors were swept:

`\begin{gathered} \Rightarrow(4224)/(24) \\ \Rightarrow176ft^2 \\ \approx180ft^2\text{ per man per minute} \end{gathered}`

Hence, about 180 square feet of space was swept per man per minute.