Question

Q. 20 men and 25 women together can complete a work in 5 days. It takes 150 days for one man alone to complete the work. How many days will be required for one woman to complete the same work?

( send me pic ) ​

Answer 1

Answer:

Step-by-step explanation:

150 days for one man so the time gets cut in half every man you add so 75 days for two, so 20 men working on it takes 7.5 days  you do the rest, (im pretty sure thats right but dont take my word for it)

Answer 2

Given that:

$\[\begin{array}{l}\left( {20M + 25W} \right) \times 5 = 1M \times 150\\ \Rightarrow 100M + 125W = 150M\\ \Rightarrow 125W = 50M\\ \Rightarrow 5W = 2M\end{array}\]$

Observe that according to the given question,

1M can do the work in 150 days.

$\[ \Rightarrow {\rm{2M}}\]$  can do the same work in $\[\frac{{150}}{2} = 75\]$days

$\[ \Rightarrow 5W\]$ can do the same work in 75 days.

$\[ \Rightarrow 1W\]$ can do the same work in $\[75 \times 5 = 375\]$days

Hence, 1 woman can do the same work in 375 days.