Question

If 12 men or 18 women can complete a work in 14 days. How long will 8 men and 16 women take to finish the work?

 

Answer 1

If 12 men can do the work in 14 days

then 12 men do 1/14th part of work everyday

so one men does 1/(12)(14)=1/168th part of the work

similarly one women does 1/252th part of the work

so in one day

8 men and 16 women can do (8/168+16/252)th part of work 

so they can do 1/9th pert of work in a day

THEN THEY CAN FINISH  THE WORK IN 9 DAYS

Answer 2

they can do in 9 days