Answer:
It would take 24 hours for Max to steal all the gifts himself
Step-by-step explanation:
The together rate is the sum of each separate rate.
In this problem:
Together rate: 1/8
Grinch's rate: 1/12
Max: 1/x
So
[tex]\frac{1}{8} = \frac{1}{12} + \frac{1}{x}[/tex]
[tex]\frac{1}{8} = \frac{x + 12}{12x}[/tex]
[tex]12x = 8(x + 12)[/tex]
[tex]12x = 8x + 96[/tex]
[tex]4x = 96[/tex]
[tex]x = \frac{96}{4}[/tex]
[tex]x = 24[/tex]
It would take 24 hours for Max to steal all the gifts himself
