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.
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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.
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.
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