Question

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 ?

Answer 1

please mark it as a brainliest answer

Answer 2

Answer:

5 more days will the work be completed.

Step-by-step explanation:

Given : 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.

To find : In how many more days will the work be completed ?

Solution :

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 is $1-\frac{1}{3}=\frac{2}{3}$

As 20 women complete 1 work in 6 days.

16 women will do $\frac{2}{3}$ work in $\frac{20\times 6}{16}\times \frac{2}{3}$ days

16 women will do $\frac{2}{3}$ work in 5 days.

Therefore, 5 more days will the work be completed.