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Hannah can paint a room in 10 hours. Destiny can paint the same room in 6 hours. How long does it take for both Hannah
and Destiny to paint the room it they are working together?

Respuesta :

Answer:

3.75 hours

Step-by-step explanation

its not the average becuase destiny can paint it in 6 hours so why would it be 8 if they are doing it together.

Fractions are numbers in mathematics that have both a numerator and a denominator.

They can be represented mathematically as:

[tex]\frac{x}{y}[/tex] where: x is the numerator and y is the denominator.

It will take both Hannah and Destiny

From the question:

Number of hours for Hannah to paint a room = 10 hours

Number of hours for Destiny to paint a room = 6 hours

Let's represent how long it takes for Hannah and Destiny to paint the room together as = T

Hence:

1/T = 1/10 + 1/6

Lowest Common Denominator (10, 6) = 30

1/T = 3 + 5/30

1/T = 8/30

In Simplest fraction:

1/T = 4/25

Finding the reciprocal of both sides

T = 25/4

T = 6 1/4 hours

Therefore, it takes both Hannah and Destiny 6 1/4 hours to paint the room together.

To learn more, visit the link below:

https://brainly.com/question/3578188

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