lindseycruz69
Answered

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PLEASE HELP!!
The Grinch found that he can steal all the presents in Whoville in 12 hours. If his dog Max helps, then they can steal all the gifts in 8 hours. How long would it take Max to steal all the gifts himself?

Sagot :

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

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