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A group of college students are volunteering for Help the Homeless during their spring break. They are putting the finishing touches on a house they built. Working alone, Irina can paint a certain room in 7 hours. Paulo can paint the same room in 6 hours. Write an equation that can be used to find how long it will take them working together to paint the room. How many hours will it take them to paint the room? If necessary, round your answer to the nearest hundredth.

Respuesta :

meerkat18
The question is asking to compute on how many hours will it take them to paint the room and base on the question and the given data in the problem, I would say that the answer would be 1/7+1/6 = 1/x, 6.5 hours. I hope you are satisfied with my answer and feel free to ask for more 

Using the together rate, it is found that it will take them 3.23 hours working together to paint the room.

What is the together rate?

The together rate is the sum of each separate rate.

In this problem, the rates are as follows:

  • Together: 1/x.
  • Irina's: 1/7.
  • Paulo's: 1/6.

Hence:

[tex]\frac{1}{x} = \frac{1}{7} + \frac{1}{6}[/tex]

[tex]\frac{1}{x} = \frac{7 + 6}{42}[/tex]

[tex]x = \frac{42}{13}[/tex]

[tex]x = 3.23[/tex]

It will take them 3.23 hours working together to paint the room.

To learn more about the together rate, you can take a look at https://brainly.com/question/25159431

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