Question

8 men and 4 women together can complete a piece of work in
6 days. The work done by a man in one day is diuble the
work done by a woman in one day. If 8 men and 4 women
started working and after 2 days 4 men left and 4 new women
joined, in how many more days will the work be complete?
A. 5 days
B. 8 days
C. 6 days
D. 4 days

Answer 1

Correct Answer - (a)
`1M = 2W`
`(8M+ 4W)xx(6days-2 days)= (4 M +8W)xx x `days
`(8xx 2W +4W) xx(6-2)` days
`= (4xx2W+8W)xx x` days
`(16 +4) W xx 4 days = 16 W xx x` days
`therefore x = (20 xx4)/16 = 5 days [M_(1) D_(1) = M_(2) D_(2)]`