IMPORTANT!!! ANSWER IMMEDIATELY!!!
Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao working together to clean a typical pool? Show all your work. Leave your final answer as an integer or reduced fraction.

Respuesta :

Together they cleaned the pool in 3 hours, 25 minutes, and 43 seconds.

We have given,

1 pool cleaned = 8 hour

x = 1 hour

x = (1 pool cleaned * 1 hour) ÷ 8 hour = 1/8 portion cleaned.

2) we calculate the portion of the pool cleaned by Chao in an hour.

1 pool cleaned= hour

x = 1 hour

x = (1 pool cleaned * 1 hour) / 6 hour = 1/6 portion cleaned.

3) we can suggest this equation:

x = number of hour

[tex]x(\frac{1}8} +\frac{1}{6} )=1[/tex]

What is the formula for 1 pool cleaned?

(number of hours) x (a portion of pool cleaned by Anita in an hour + portion of pool cleaned by Chao in an hour) = 1 pool cleaned.

4) we solve this equation:

[tex]x(\frac{1}{8} + \frac{1}{6} )=1[/tex]

[tex]\frac{1}{8}+\frac{1}{6} =(3+4)/24=\frac{7}{24}[/tex]

least common multiple (8,6) = 24

[tex]x(7/24)=1[/tex]

[tex]x=(1*24)/7[/tex]

x = 24 / 7 ≈ 3.43     (3 hours,  25 minutes, 43 seconds)

Together they cleaned the pool in 3 hours, 25 minutes, and 43 seconds.

To learn more about the least common multiple visits:

https://brainly.com/question/16054958