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Dirk can clean a playground in 5 hours. Geralyn can clean a playground in only 4 hours.


Which of the following can be used to determine the amount of time it would take for Dirk and Geralyn to clean a playground together?

A.) (1/5) + (1/x) = (1/4)

B.) (1/x) + (1/4) = (1/5)

C.) (1/5) + (1/4) = (1/x)

D.) (1/4) + (1/5) = (x/9)

Verified Answer :

taskmasters
C(1/5) + (1/4) = (1/X)

Dirk - 1/5      = 1 play ground, 5 hours
Geralyn - 1/4 = 1 play ground, 4 hours
Both - 1/x    = 1 play ground, x hours.

The amount of time it would take for Dirk and Geralyn to clean a playground together is (1/5) + (1/4) = (1/X).

The correct option is (C).

What is Algebra?

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables.

In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values.

Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division, with an objective to find the values.

Given:

Dirk clean a playground = 5 hours.

Geralyn clean a playground= 4 hours.

As,

For Dirk the time = 1/5    

For Geralyn the time will be=- 1/4

So, total =1/x

Learn more about Algebra here:

https://brainly.com/question/953809

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