A team of 2 men and 5 women completed one-fourth of a job in 3 days. After 3 days another man joined the team and they took 2 days to complete another one-fourth of the job. How many men can complete the whole job in 4 days?

(Unitary Method)

2 জন পুরুষ ও 5 জন মহিলার একটি দল 3 দিনে একটি কাজের 1/4 অংশ করল। 3 দিন পরে, আর একজন পুরুষ ঐ টিমে যোগ করলেন এবং তারা একত্রে 2 দিনে আরো 1/4 অংশ কাজ করল। কত জন পুরুষ 4 দিনে কাজটি করতে পারবে?

2 men and 5 women require 3 days to complete $\frac{1}{4}$ job

∴ They complete $\frac{1}{4 \times 3} = \frac{1}{12}$ job in 1 day.

3 men + 5 women require 2 days to complete $\frac{1}{4}$ job;

∴ They complete $\frac{1}{4 \times 2}= \frac{1}{8}$ in 1 days.

$$\begin{gathered} \frac{3 men+5 women = {\displaystyle \frac{1}{8}} \\ 2 men +5 women = {\displaystyle \frac{1}{12}}}{ \left(Subtracting\right) 1 man = {\displaystyle \frac{1}{8}} - {\displaystyle \frac{1}{12}} = {\displaystyle \frac{3-2}{24}} ={\displaystyle \frac{1}{24}}} \end{gathered}$$

$\frac{1}{24}$ job is done in 1 day by 1 men

∴ 1 job is done in 1 day by 24 men

∴ 1 job is done in 4 day by $\frac{24}{4} = 6$ men