Question

12 men or 24 women can finish a work in 24 days ,in how many days can the same work be finished by 8 men and 8 women ?

Answer 1

Answer:

24 days

Step-by-step explanation:

12 men can finish the work in 24 days.

So 1 man will do this work in 12×24 =288 days.

Thus, 8 men can do this work in 288/8=36 days

Similarly 8 men will do 1/36 of the work in 1 day.

Like this, 24 women can finish the work in 24 days

So, 1 women will take 24×24= 576 days.

8 women will do the work in 576/8= 72 days

Similarly, 8 women will do 1/72 of the work in 1 day.

So 8 men and 8 women will do this work in 1 day=1/36+1/72 =3/72 or 1/24 of the work.

Thus 8 men and 8 women will finish the work in 1÷1/24=1×24/1=24 days