Mary can clean the house in 6 hours. Her younger sister Ruth can do the same job in 9 hours. In how many hours can they do the job if they work together?

1 Answer

Take the question in terms of fractions, not algebra, for a simpler approach.

Explanation:

In ONE hour, Mary can thus clean #1/6=3/18# of the house.
In ONE hour, Ruth can thus clean #1/9=2/18# of the house.
Therefore, together they can clean #5/18# of the house in an hour.

To clean the entire house, they will take #18/18-:5/18=3.6# hours. I hope this simple method helps!