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If 6 women can complete a work in 3 days and...

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Time and Work
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If 6 women can complete a work in 3 days, and 9 girls can complete the same work in 2 days, then find the time taken to complete the same work by 8 women and 6 girls?

Answer & Solution
Correct Answer: Option D
$$\eqalign{ & 6W \times 3 = 9G \times 2 \cr & \frac{W}{G} = \frac{1}{1} \cr & {\text{Total work}} = 18 \cr & 18 = \left( {8W + 6G} \right) \times d \cr & 18 = 14 \times d \cr & d = \frac{9}{7}{\text{ days}} \cr} $$
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