If 12 men or 18 women can do a work in 14 days, then in how many days will 8 men and 16 women do the same work?
Answer
Answer (as printed):
Explanation
Let the required number of days be $x$. 12 men $\equiv 18$ women $\Rightarrow 8$ men $\equiv \left(\frac{18}{12}\times8\right)$ women $=12$ women. More women, Less days (Indirect Proportion). $\therefore 28:18::14:x \Leftrightarrow (28\times x)=(18\times14) \Leftrightarrow x=\left(\frac{18\times14}{28}\right)=9$. Hence, required number of days $=9$.
Explanation as extracted from the printed page; notation may be imperfect.