Question

$4$ men or $6$ women complete a job in $30$ days. How much time will $12$ women and $2$ men take a complete the same work.

• A. $12$ days
• B. $30$ days
• C. $24$ days
• D. $20$ days

Answer 1

Answer: (A)

$12$ days

$\begin{array}{c}4men-30day=x\\ 6women-30day=x\\ 12women+2men\\ 4m\times 30=6w\times 30\\ \left[m=\frac{3}{2}w\right]\\ \left(12w+2m\right)\times t=x\\ \left(12w+3w\right)\times t=x\\ t=\frac{x}{1500}\\ t=\frac{6w\times 30}{15w}=12days.\end{array}$