Question

Twelve men and six women together can complete a piece of work in four days. The work done by a women in one day is half the work done by a man in one day. If 12 men and six women started working and after two days six men left and six women joined then i

Answer 1

Work done by a women in one day = 1/2 (work done by a man/day) One women's capacity = 1/2(one man's capacity) One man = 2 women. 12 men = 24 women. 12 men + 6 women = 30 women 30 women can complete the work in four days. In the first 2 days they can complete 1/2 of the work. Remaining part of the work = 1/2. If 6 men leave and 6 new women join then new work force = 30 women-12women + 6 women = 24 women. Time taken by them to complete the remaining work = 1/2 (Time taken by 24 women to complete the work) = 1/2 * (30 * 4)/24 = 2 (1/2) days.