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?

A) 9 days

B) 10 days

C) 12 days

D) 14 days

Correct answer:
A) 9 days

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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