Question

Krystal can wax a floor in 16 minutes. Perry helped her and it took 5.76 minutes. How long would it take perry to do it alone?

Answer 1

Krystal'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.

I hope this helped!
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