<PRE><B>Question 503619</B>
Let t equal the amount of hours it takes each maid to finish.

First Maid: t/6
Second maid: t/5
Total hours: 1

t/6+t/5=1

5 and 6 both go into 30.

5 goes into thirty 6 times. So now we have 6t
6 goes into thirty 5 times. So now we have 5t
Since 30 is the greatest common factor the 1 now becomes 30.

Our equation now looks like: 5t+6t=30

Add 5t and 6t together and you will get 11t. 

11t=30
t=30/11

t= 2.72 hours or 2 hours 44 minutes.

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