If 12 men or 18 women can do a piece of work in 14 days, then how long will 8 men and 16 women take to finish the work?
Correct Answer: Description for Correct answer:
12 men = 18 women
= 1 man = \( \Large \frac{18}{12} \) women = \( \Large \frac{3}{2} \) women
Therefore, 8men = \( \Large \frac{3}{2} \times 8 \) = 12 women
Therefore, 8men + 16 women = 12 women + 16 women = 28 women
Therefore, 18 women can do the work in 14 days
Therefore, 1 woman can do the same work in \( \Large 14 \times 8 \) days.
Therefore, 28 women can do the same work in \( \Large \frac{14 \times 18}{28} \) days.
Therefore, Required number of days = \( \Large \frac{14 \times 18}{28} \) = 9 days
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