Practice Test Discussion

If 12 men or 18 women can do a piece of work in 14 days. How long will 8 men and 16 women take to finish the work?

[Railways 2007]

9 Days

12 Days

13 Days

10 Days

None of these

Explanation

As per the question,

12 men = 18 women

So 1 man = $\frac{18}{12}$ women

⇒ 8 men = $\frac{18}{12} \times 8 = 12$ women

Here,

M₁ = 18, D₁ =14, W₂ =1

M₂ = 12+16, D₂ = ?, W₁= 1

So according to the formula,

M₁ D₁ W₂ = M₂ D₂ W₁

$18 \times 14 \times 1 = (12 + 16) \times D_{2} \times 1 D_{2} = \frac{18 \times 14}{28} = 9 d a y s$

Hence option A is correct

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