Question

M, N and O together can finish a piece of work in 4 days. M alone can do it in 12 days and N alone in 18 days how many days will be taken by O to do it alone?​

Answer 1

Step-by-step explanation:

let us say that O can do the work alone in x days.

Then,

work done by M = 1/12

work done by N = 1/18

work done by O = 1/x

Total work done = 1/4

hence,

1/12 + 1/18 + 1/x = 1/4

1/x = 1/4 - 1/12 - 1/18

1/x = (9-3-2)/36

1/x = 4/36

1/x = 1/9

Therefore, x = 9 days

O will alone complete the work in 9 days