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 ?
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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
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