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
Ans : 15 days
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)*