Question

A particular work can be completed by 6men and 6 women in 24days , where as the same work can be completed by 8 men and 12
women in 15 days. Find :
(i) according to the amount of work done,
one man is equivalent to how many
​

Answer 1

Answer:

Given,

6men + 6 women = 24 days

⇒ 6M + 6W = 24

and, 8M + 12W =15

1)Applying, M×D = M'×D'

(6M + 6W )×24= (8M + 12W)×15

⇒( M + W) ×6×24 = (2M +3W) ×4×15

⇒( M+ W)12 = (2M +3W)5

⇒12M + 12W = 10M +15W

⇒2M = 3 W

hence, 2 men is equal to 3 women

2)now, 4M +6 W = ??

Applying M×D =M'×D'

(6M + 6W )×24 = (4M +6W ) ×D'

⇒(9W + 6W) ×24 = (6W +6W)×D' ∵2M = 3 W

⇒15W ×24 = 12W ×D'

⇒D' = 30 days

It will takes 30 days to complete the same work by 4 men and 6 women