Question

A group of women can finish a piece of work in 50 days in how many day 1/3 number of women be able to find 2/3rd of the work?

Answer 1

The group of women can finish the work in 5050 days.

=> one-third the number of women can finish the work in 50×3=150 days. 50×3=150 days. 
(because number of persons is inversely proportional to number of days)

=> one-third the number of women can finish two-third of the work in 150×23=100 days.150×23=100 days. 
(because amount of work is directly proportional to number of days)

Answer 2

let divide them into 3 equal groups . One group is working and it has to complete 2/3 Rd of work ... so the group need to finish other one group work too.. them only 2/3 of the will be completed .. so it has to work for another equal a amount of time (50+50)=100 .. answer is 100