Asked by Matt

Mary can clean a house in two hours, Gina can clean a house in three hours.
How long would it take for Mary and Gina to clean the house together.

Answers

Answered by Matt
Also please explain how you got the answer.
Answered by Steve
consider how much of the job gets done in one hour.

Mary does 1/2
Gina does 1/3

So, ever hour, 1/2 + 1/3 = 5/6 of the job gets done.

If 5/6 gets done in one hour, the whole job takes 6/5 hours.

1/2 + 1/3 = 1/x

For further discussions, I refer you to

(a) your class text
(b) your teacher
(c) google: algebra work problems
Answered by Reiny
Mary's rate = house/2
Gina's rate = house/3
combined rate = house/2 + house/3
= 5house/6 , (just like 1/2 + 1/3 = 5/6)

time at combined rate = house/(5house/6)
= house(6)/(5house)
= 6/5

notice that "house" canceled, we could have used anything, some would just use 1
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