10 men and 8 women can together complete a work in 5 days. Work done by a woman is equal to the half of the work done by a man. In how many days, will 4 men and 6 women complete that work?

A) 12 days

B) 10 days

C) \( \Large 8\frac{2}{3} \) days

D) \( \Large 9\frac{3}{4} \) days

Correct answer:
B) 10 days

Description for Correct answer:
1 man = 2 women

10 men + 8 women = 20 women + 8 women = 28 women

4 men + 6 women = 8 women + 6 women = 14 women

Because, 28 women do the work in 5 days.

Therefore, 1 woman can do the same work in days.

Therefore, 14 women will do the same work in \( \Large 28 \times 5 \) days

Therefore, Required number of days = \( \Large \left(\frac{28 \times 5}{14}\right) = 2 \times 5 \) = 10


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