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1. 3 men or 6 women can do a piece of work in 20 days. In how days will 12 men and 8 women do the same work ?

A. $3 \frac{1}{2} days$

B. $3 \frac{3}{4} days$

C. $4 days$

D. $5 days$

Solution:

Let the required number of days be x
3 men = 6 women
⇒12 men = (2 × 12) women = 24 women
∴ 12 men and 8 women = (24 + 8) women = 32 women
Now, More women, Less days (Indirect Proportion)

\begin{aligned} ∴ 32 : 6 :: 20 : x \\ \Leftrightarrow x = (\frac{6 \times 20}{32}) \\ \Leftrightarrow x = \frac{15}{4} \\ \Leftrightarrow x = 3 \frac{3}{4} \end{aligned}

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