Amari is a manager of a dog groomers. He has two professional dog groomers, Riley and Seymone, to wash lot of dogs. Riley can wash all the dogs in 5 hours. Seymone can wash all the dogs in 8 hours. Amari wants to know how long it will take them to wash all the dogs if they work together. Write an equation and solve for the time it will take Riley and Seymone to wash all the dogs together. Explain each step.

Question

Mathematics

Belinda Russell

22 August, 23:17

Amari is a manager of a dog groomers. He has two professional dog groomers, Riley and Seymone, to wash lot of dogs. Riley can wash all the dogs in 5 hours. Seymone can wash all the dogs in 8 hours. Amari wants to know how long it will take them to wash all the dogs if they work together. Write an equation and solve for the time it will take Riley and Seymone to wash all the dogs together. Explain each step.

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Answers (1)

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Julianna Benjamin · Answer 1

Answer: It will take them about 3.08 hours together.

We are looking for the number of hours that when the two values are combined complete 1 total job.

The equation that needs to be solved is:

x/5 + x/8 = 1

First, multiply by 40 and solve the equation.

8x + 5x = 40

13x = 40

x is about 3.08 hours