Question

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?

Answer 1

It would take 24 hours for Max to steal all the gifts himself

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

`(1)/(8) = (1)/(12) + (1)/(x)`

`(1)/(8) = (x + 12)/(12x)`

`12x = 8(x + 12)`

`12x = 8x + 96`

`4x = 96`

`x = (96)/(4)`

`x = 24`

It would take 24 hours for Max to steal all the gifts himself