Question

4 men can finish a work in 6 days, 8 women can finish the same work in 15 days, 10 children can finish the same work in 24 days. how long a team of 1 man, 2 women and 2 children will take to finish the same work ?

Answer 1

1 man , 2 women and 2 childeren can finish the work in 18.46 days

Answer 2

Answer: 1 man, 2 woman and 2 children take 15 days to finish the same work.

Step-by-step explanation:

Since we have given that

Number of men can finish a work in 6 days = 4

Number of women can finish a work in 15 days = 8

Number of children can finish a work in 24 days = 10

So, we get the relation between men, women, and children is given by

$4M\times 6=8W\times 15\\\\M=5W\\\\Similarly,\\\\4M\times 6=10C\times 24\\\\M=10C$

We need to find the number of days 1 man, 2 women and 2 children can finish a work :

$(1M+2W+2C)\times x=4M\times 6\\\\(M+\frac{2}{5}M+\frac{1}{5}M)\times x=4M\times 6\\\\\frac{8}{5}M\times x=4M\times 6\\\\x=15\ days$

Hence, 1 man, 2 woman and 2 children take 15 days to finish the same work.