Answered

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Johanna, Elizabeth, and Dan are preparing a chemical solution for a research project. When
working alone, either Johanna or Elizabeth can prepare the solution in six minutes. Dan can
prepare the solution in four minutes if he works alone. How many minutes will it take the thre
of them to prepare the solution if they work together?

Sagot :

Using the together rate, it is found that they would prepare the solution in 1.71 minutes working together.

What is the together rate?

It is the sum of each separate rate.

In this problem, the rates are given by:

  • Johanna's: 1/6.
  • Elizabeth's: 1/6.
  • Dan's: 1/4.

Hence the together rate is given by:

[tex]\frac{1}{x} = \frac{1}{6} + \frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{1}{x} = \frac{1}{3} + \frac{1}{4}[/tex]

[tex]\frac{1}{x} = \frac{4 + 3}{12}[/tex]

7x = 12

x = 12/7

x = 1.71.

They would prepare the solution in 1.71 minutes working together.

More can be learned about the together rate at https://brainly.com/question/25159431

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