if 12 men or 18 women can complete a piece of work in 7 days, in how many days can 4 men and 8 women complete the same work?
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Answer:
12 men
= 18 women
∴ 4 m = (18/12) × 4
= 6 women
Total women in second case = 4 men + 8 women
6 + 8 = 14 women
18 women can do a piece of work in 7 days
Let 14 women will do the same work in x days
∴ 18 : 14 :: 7 : x
(less women, more days)
⇒ 18 : 14 :: x : 7
(Using inverse proportion)
X = (18 × 7)/14
= 9
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