Question

Ajay and vijay undertake to do a piece of work for rs.2oo. ajay alone can do it in 24 days while vijay alone can do it in 30 days. with the help of pradeep, they finish the work in 12 days.how much should pradeep get for his work?

Answer 1

Ajay alone can finish work in 24 days

Vijay alone can finish work in 30 days

Let Pradeep alone can finish the work in x days

so ,

1/24 + 1/30 + 1/x = 1/ 12

54/720 + 1/x = 1/ 12

3 / 40 + 1/x = 1/ 12

1/x = 1/ 12 - 3/40

1/x = 40 - 36 / 480

1/x = 4 / 480

1/x = 1 / 120

x = 120

so Pradeep alone can finish work in 120 days

let whole work is 120

Ajay can do whole work in 24 days

so Ajay daily performs 5 work

Vijay can do whole work in 30 days

so Vijay daily performs 4 work

Pradeep can do whole work in 120 days

so Pradeep daily performs 1 work

share = Ajay : Vijay : Pradeep

share = 5 : 4 : 1

share = 100 : 80 : 20

so Pradeep can get 20 rs