Sixteen women working 7 hours a day will complete a job in 48 days. How many women are needed to complete the same job in 32 days working 12 hours a day?

For first condition;

Total women $$W_1 = 16$$ 

Time, $$T_1 = 7 h$$ 

Days, $$D_1 = 48 days$$ 

For Second condition; 

Time $$T_2 = 12 h$$ 

Days $$D_2 = 32 days$$ 

​$$\text{Total work} = \text{Total Woman}\times \text{Total Days} \times \text{ Total hours}$$ 

$${ W_1 \times T_1 \times D_1} = W_2 \times T_2 \times D_2$$ 

For second condition;

Let the number of women $$W_2 = x$$ 

Now putting the given values in the formula ;

​$${ W_1 \times T_1 \times D_1} = W_2 \times T_2 \times D_2$$ 

​$$\begin{aligned} &16\times 7 \times 48 = x \times 12 \times 32 \\ & x = \frac{ 16 \times 7 \times 48}{12 \times 32} \\ & x = 14\end{aligned}$$ 

​$$\therefore$$ 14 women are required to do the same work in working 12 hours and in 32 days.​