Hi

Let x represent the time it  would take Perry to do it solo

Question states*** Per minute the equalizer

 1/16 + 1/x = 1/5.76 

Solving for x

36x + 576 =  100x     |multiplying thru by 576x so as all denominators= 1

     576 = 64x

     x = 9 minutes, time it  would take Perry to do it alone 

Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
 Kristal's rate = 1 floor in 16 min. = 1/16 floors per min.

Working together their rate = 1 floor in 5.76 min. = 1/5.76 floors per min.

We need to determine Perry's rate, so we need to equate their combined rate with the sum of the individual rates.

Let Perry's time = x

In equation form, we can write:

1/16 + 1/x = 1/5.76

Solve for x:

(x+16)/16x = 1/5.76 -> 5.76(x+16) = 16x -> 10.24x = 92.16 -> x = 9

So, Perry would take 9 mins. to do the floor alone. 

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