If 16 men or 20 women can do a piece of work in 25 days in what time will 28 men and 15 women do it ........

Quant (SSC) Time and work

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If 16 men or 20 women can do a piece of work in 25 days, in what time will 28 men and 15 women do it ?

14 2/7 days

33 1/3 days

18 3/4 days

10 days

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Explanation:

16 M = 20 W
Therefore, 1 men = 5/4 women
Similarly, 28 men = 28 x 5/4 women = 35 women
∴ 28 men + 15 women ≡ 50 women Now applying the chain rule formula, we get
M₁D₁ = M₂D₂
M₁ = 20 women, D₁ = 25 days and M₂ = 50 women, D₂ = ?
D₂ = 20 x 25 /50 = 10 days