SOLUTION: Jane and Maria can clean the house in 2 hours if they work together. The time that Jane takes in cleaning the house alone is 3 hours more than the time Maria takes in cleaning the
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Question 1175009: Jane and Maria can clean the house in 2 hours if they work together. The time that Jane takes in cleaning the house alone is 3 hours more than the time Maria takes in cleaning the same house.
Define the variables
Thought Process
Equations
Solving equations
Answer
KINDLY PLEASE HELP ME TO SOLVE THIS..THANK YOU💜
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
Let 
represent the number of hours Maria would take to clean the house alone. Then
is the number of hours Jane would take to clean the house alone.
Maria can clean 
of the house in one hour. Jane can clean 
of the house in one hour. Working together, they could clean 
of the house in one hour.
Adding the fractions:
\ +\ x}{x(x\,+\,3)}\ =\ \frac{2x\,+\,3}{x^2\,+\,3x})
represents the fractional portion of the house that they could clean in one hour working together. Taking the reciprocal:
represents the amount of time that it would take both to clean the whole house, and we know that this is equal to 2 hours, hence:
Solve for to find the amount of time it would take Maria to clean the house by herself, and then calculate 
to find the amount of time it would take Jane to clean the house by herself. Hint: Multiply both sides of the equation by the denominator on the left, collect like terms, solve the resulting quadratic, and discard any answer less than zero.
John
My calculator said it, I believe it, that settles it
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