Question

$12$ men complete a work in $9$ days. After they have worked for $6$ days, $6$ more men join them. How many days will they take to complete the remaining work ?

• A. $2$ days
• B. $3$ days
• C. $4$ days
• D. $5$ days
• E. None of these

Answer 1

The correct option is A $2$ days

12 men $\Rightarrow$ 9 days Let 36 unit be worked to complete

12 men $\Rightarrow \frac{36}{9}$ unit/day

= 4 unit/day $\Rightarrow$ 1 Men = $\frac{1}{3}$ unit/ day

for 6 Men $\Rightarrow 2$ unit / Day

24 unit

Left work $\Rightarrow 36-24=12$ unit

Now total Men= 12 M +6M = 18 M

18 M compete the work in a day = $\frac{36}{18}=2$ days