Question : 24 women and 9 men can complete a certain piece of work in 18 days. Each woman takes twice the amount of time taken by a man to finish the work. In how many days can only 9 men finish the same work?
Option 1: 42
Option 2: 35
Option 3: 39
Option 4: 48
Correct Answer: 42
Solution :
24 Women + 9 Men = 18 days
Each woman takes twice the amount of time taken by a man to finish the work.
So, 1 man = 2 woman
⇒ 9 men = 9 × 2 = 18 women
So, 24 + 18 = 42 women complete the work in 18 days.
We know, $W_1D_1= W_2D_2$, where $W_1,W_2$ are number of women, $D_1,D_2$ are number of days
⇒ $42×18=18×D_2$
$\therefore D_2=42$
Hence, the correct answer is 42 days.
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