ALGEBRA! Max and Maggie have to clean the house. It takes Max 9 hours to clean the house, while Maggie can complete the task in 4 hours. Their sister says that it will take 3 hours to complete if they work together. Explain each step in solving this equation, and determine if the sister is correct or not.

3 hours

Step-by-step explanation:

Max cleans the house in 12 hours

Max in 1 hour cleans: 1/12 part of the house

Maggie cleans the house in 4 hours

Maggie in 1 hour cleans: 1/4 part of the house

In 1 hour they together do: 1/12 + 1/4 = 1+3/12 = 4/12 = 1/3 work

1 hour===1/3 work

X hours== 1 work

X/3 = 1

X = 3 hours.

Hence, they together complete the work in 3 hours.

And so, the sister is correct.

Hope it helps.

2

step-by-step explanation: