BrightynW179336 BrightynW179336
  • 03-11-2022
  • Mathematics
contestada

It takes Jenny 8.4 minutes to sweep a porch.Mofor can sweep the same porch in 13.3minutes. If they worked together how longwould it take them?

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ZamoriaH785086 ZamoriaH785086
  • 03-11-2022

Rate of Jenny = 1/ 8.4 minutes

Rate of Mofor = 1/13.3 minutes

We know time and rate are inverses of each other.

So, if they work together, their rates would be:

[tex]\frac{1}{8.4}+\frac{1}{13.3}[/tex]

The time they will take will be the inverse of this, thus:

[tex](\frac{1}{8.4}+\frac{1}{13.3})^{-1}[/tex]

So, let's calculate it:

[tex]\begin{gathered} (\frac{1}{8.4}+\frac{1}{13.3})^{-1} \\ =5.1484 \end{gathered}[/tex]

That is around 5.15 minutes.

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