Question

Time and work Question :-


Q: A piece of work can be done by 9 men and 15 women in 24 days. In how many days can 15 men and 15 women do the same work?


Answer should be well explained :)

Answer 1

Answer:

9 days

Step-by-step explanation:

Given that 9 men can complete a work in 24 days.

∴ Then, 1 men's 1-day work = (1/216)

Given that 15 women can complete a work in 24 days.

∴ Then, 1 women's 1-day work = (1/360)

Now,

∴ (15 men + 15 women) = (15/216 + 15/360)

                                      = (5/72 + 1/24)

                                      = (5 + 3)/72

                                      = 8/72

                                      = 1/9.

Therefore, 15 men and 15 women can do the same work in 9 days.

Hope it helps!

Answer 2

Work done by 9 men and 15 women in 1 day =

1/24

Let work done by 1 man is M

work done by 1 woman is W

So

9 M + 15 W = 1/24

take 9M = 15 W = 1/48


M = 1/432

w= 1/720

So 15( M + W)

15( 1/432 + 1/720)

15( 5 + 3)/2160 = 15× 8/2160 = 1/18


So 18 days