Problema Solution
8 men or 12 women can do a piece of work in 25 days. in how many days can the same work be done by 6 men and 11 women?
Answer provided by our tutors
lets
m = the days 1 man needs to finish the job thus 1 man has a rate 1/m jobs per day
w = the days 1 woman needs to finish the job thus 1 woman has a rate 1/w jobs per day
8 men or 12 women can do a piece of work in 25 days
8/m = 1/25 => m = 8*25 = 200 days
12/w = 1/25 => w = 12*25 = 300 days
the together rate of 6 men and 11 women is
6/200 + 11/300 = (6*3 + 2*11)/600 = 40/600 = 1/15
if 6 men and 11 women work together the work will be done in 15 days.