Question

WILL MARK BRAINLIEST!!!!Max and Maggie have to clean the house. It takes Max 12 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.

Answer 1

Suppose there are 12 equal parts of the house to be cleaned. Max can do 1 per hour, and Maggie can do 3 per hour.

The number of units they can do together in x hours is x+3x. Since there are 12 units to do, x+3x=12. For x=3 this is true, so the sister was right!

Answer 2

The sister is correct, because if you divide 12 by 4 your answer is 3 hours.