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It takes Kenesha 45 minutes to prepare 20 greeting cards. It takes Paula 30 minutes to prepare the same number of cards. Working together at this rate, how long will it take them to prepare the cards?

Respuesta :

Using the together rate, it is found that it will take them 18 minutes to prepare the cards working together.

What is the together rate?

The together rate is the sum of each separate rate.

In this problem:

  • The together rate is of 1/x.
  • Kenesha's rate is of 1/45.
  • Paula's rate is of 1/30.

Hence, the time it will take for them to make the cards is given by:

[tex]\frac{1}{x} = \frac{1}{45} + \frac{1}{30}[/tex]

[tex]\frac{1}{x} = \frac{5}{90}[/tex]

5x = 90

x = 18 minutes.

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

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