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Max and Maggie have to clean the house. It takes Max 12 hours to clean the house, while Maggie can complete the task in 4 hours. Their sister says that it will take 3 hours to complete if they work together. Explain each step in solving this equation and determine if the sister is correct or not.

Verified Answer :

alexandertanoury

you first take half of 12 which is 6, then you take half of 4 which is 2. you know find the answer by dividing 6 by 2. the sister is correct

The sum of their rates is the combined rate. But we don't know the combined time. We'll solve for it.
112+14=1t

In this case the LCM of the entire equation is 34t, or 12t.
 Multiply everything by 12t.

t+3t=12
4t=12
t=3

Their sister is correct. 

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