arithmetic - in a road construction 12 women take 16 days to complete a work which can be completed by 8 men in 12 days 16 men started working and after 3 days 10 men left and 4 women joined them how many days will it take them to complete the remaining - skillgun

Let 1 women’s 1 day’s work = x and 1 men's 1 days work = y.
Then, 12x = 1/16 or x = 1/192 and 8y= 1/12 or Y = 1/196. Work done in 3 days = (16 * (1/96)*3)= 1/2
Work left = (1 - (1/2)) = 1/2
(6 men + 4 women)s 1 days work = (6/96) + (4/192) = 1/12
1/12 work is done by them in 1 day.
1/2 work is done by them in (12 * (1/2)) = 6 days.