Question

Pooja and Ritu can do a piece of work in `17 1/7` days. If one day work of Pooja be three fourth of one day work of Ritu’ find in how many days each will do the work alone.

Answer 1

Let Pooja’s 1 day work = `1/x`

and Ritu's 1 day work = `1/y`
According the question,
`1/x + 1/y = 7/120`                   ....(1)
and
`1/x = 3/4 . 1/y`

`y = 3/4 x`                                ....(2)

Using the value of y from (2) in (1)
`1/x + 4/(3x) = 7/120`

`1/x (7/3) = 7/120`
x = 40

From (2)
`y = 3/4 (40)`
y = 30

Pooja will complete the work in 40 days and Ritu will complete the work in 30 days.