Question

4 men or 6 women can finish a work in 16 days in how many day the same work is completed by 2 men amd 9 women

Answer 1

Answer:

Total 8 days..

Step-by-step explanation:

$4 \: men = 6 \: women \\ or \: \frac{men}{women} = \frac{6}{4} = \frac{3}{2}$

$total \: work \: = 4 \times men \times 16 \\ \: \: \: \: \: \: \: = 4 \times 3 \times 16 \\ \: \: \: \: \: \: \: = 192$

$(2 \: men + 9 \: women) \times time = 192 \\ or \: (2 \times 3 + 9 \times 2) \times time = 192 \\ or \: time \: = \frac{192}{24} = 8$

Answer 2

Answer:

Total 8 days..

Step-by-step explanation:

\begin{gathered}4 \: men = 6 \: women \\ or \: \frac{men}{women} = \frac{6}{4} = \frac{3}{2} \end{gathered}4men=6womenorwomenmen=46=23

\begin{gathered}total \: work \: = 4 \times men \times 16 \\ \: \: \: \: \: \: \: = 4 \times 3 \times 16 \\ \: \: \: \: \: \: \: = 192\end{gathered}totalwork=4×men×16=4×3×16=192

\begin{gathered}(2 \: men + 9 \: women) \times time = 192 \\ or \: (2 \times 3 + 9 \times 2) \times time = 192 \\ or \: time \: = \frac{192}{24} = 8\end{gathered}(2men+9women)×time=192or(2×3+9×2)×time=192ortime=24192=8

Step-by-step explanation:

Total 8 days..

Step-by-step explanation:

\begin{gathered}4 \: men = 6 \: women \\ or \: \frac{men}{women} = \frac{6}{4} = \frac{3}{2} \end{gathered}4men=6womenorwomenmen=46=23

\begin{gathered}total \: work \: = 4 \times men \times 16 \\ \: \: \: \: \: \: \: = 4 \times 3 \times 16 \\ \: \: \: \: \: \: \: = 192\end{gathered}totalwork=4×men×16=4×3×16=192

\begin{gathered}(2 \: men + 9 \: women) \times time = 192 \\ or \: (2 \times 3 + 9 \times 2) \times time = 192 \\ or \: time \: = \frac{192}{24} = 8\end{gathered}(2men+9women)×time=192or(2×3+9×2)×time=192ortime=24192=8