SOLUTION: It takes Andy 45 minutes to clean the kitchen. His sister Anita can do the job in 30 minutes. How long would it take Andy and Anita to clean the kitchen if they worked together?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: It takes Andy 45 minutes to clean the kitchen. His sister Anita can do the job in 30 minutes. How long would it take Andy and Anita to clean the kitchen if they worked together?      Log On


   

Question 1157670: It takes Andy 45 minutes to clean the kitchen. His sister Anita can do the job in 30 minutes. How long would it take Andy and Anita to clean the kitchen if they worked together?
Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39620) About Me  (Show Source):
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
in 1 minute Andy does (1/45) and Anita does (1/30)
in x minutes, they do (x/45)+(x/30) together. This equals 1.
multiply by common denominator of 90
2x+3x=90
5x=90
x=18 min needed ANSWER.
Andy does 18/45 or 0.4 and Anita does 18/30 or 0.6