Question

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?

Can you put it in steps, so I understand it?

Answer 1

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

x(1/8+1/6)=1

What is the formula for 1 pool cleaned?

(number of hours)*(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:

x(1/8 + 1/6 )=1

1/8+1/6=(3+4)/24=7/24

least common multiple (8,6)=24

x(7/24)=1

x=(1*24)/7

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

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