**Question:**

5 men start working to complete a work in 15 days. After 5 days, 10 women are accompanied by them to complete the work in next 5 days. If the work is to be done by women only, when could the work be over if 10 women have started it. A.10 days B.15 days C.18 daya D.12 days

15 __days__

15

Statement 1 : 5 men can do a work in 15 days.

Statement 2 : After 5 days , 10 women joined them at work ,

It means that 5 men have worked on it for 5 days.

From statement 1 ;

5 men can complete 5/15 ie. 1/3 rd of the work in 5days.

Remaining work : 2/3rd of the total work.

Now , 5 men and 10 women can complete it in 5 days,

5 men working for 5 days can complete 1/3rd of the work .

Remaining work : 2/3 -1/3= 1/3rd of the work

The 10 women working can do the remaining 1/3rd work in 5days. Which means that , they can complete the entire work in 15days .( Inverse propotionality theorem)*