10 men and 8 women can together complete a work in 5 days. Work done by a women 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?

12 days
10 days
82/3 days
93/4 days

Correct Answer: 10 days

Explanation:

1 women ≡ 1/2 man
10 men + 8 women ≡ 10 men + 4 men = 14 men
4 men + 6 women ≡ 4 men + 3 men = 7 men
More men, Less days (Indirect proportion) 7 : 14 : : 5 : N
∴ N = (14 x 5)/7 = 10 days

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