Question

George Can complete a project in 75 minutes,and if George and Walter both work on the project, they can complete it in 45 minutes. how long will it take Walter to complete the project by himself?

Answer 1

It will take Walter 112.5 minutes to complete the project by himself

Explanation:

The together rate is the sum of each separate rate.

In this problem:

Together rate: 1/45

George's rate: 1/75

Walter's rate: 1/x

How long will it take Walter to complete the project by himself?

This is x. So

`(1)/(75) + (1)/(x) = (1)/(45)`

`(x + 75)/(75x) = (1)/(45)`

`75x = 45(x + 75)`

`75x = 45x + 45*75`

`30x = 45*75`

`x = (45*75)/(30)`

`x = 112.5`

It will take Walter 112.5 minutes to complete the project by himself