Question

8. 8 men and 4 women together can
complete a piece of work in 6
days. Work done by a man in one
day is double 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
completed?
(1) 5 days (2) 8 days
(3) 6 days (4) 4 days
(5) 9 days
​

Answer 1

Answer:

A) 5 days

Step-by-step explanation:

According to the question,

1 man = 2 women

∴8 men + 4 women

=(16+4) women = 20 women

4 men + 8 women = 16 women

20 women's 2 days' work

$=\frac{2}{6}=\frac{1}{3}$

Remaining work=$1-\frac{1}{3}=\frac{2}{3}$

∵20 women complete 1 work in 6 days.

∴16 women will do $\frac{2}{3}$ in

$=\frac{20*16}{16}*\frac{2}{3}=5$ days.