40 Men can do a work in 8 days and Women’s efficiency is 33.33% more than that of men, who can do the same work

40 Men can do a work in 8 days and Women’s efficiency is 33.33% more than that of men, who can do the same work in 12 days. In how much time, 16 Men and 9 Women will complete the whole work together?

a.            50/3 days

b.            40/3 days

c.             38/3 days

d.            46/3 days

e.            53/3 days

Sol:

One day work of man = 1/(40 * 8) = 1/320

One day work of woman = 1/(30 * 12) = 1/360

Time taken by 16M and 9W together to

complete the whole work,

= 1/((16/320) + (9/360))

= 1/((1/20) + (1/40))

= 40/3 days