Vimal can do a piece of work in 20 days, Vimal and Kamal together can do in 12 days. If Kamal does the work only for half a day daily then in how many days the work will be completed ?

Solution(By Examveda Team)

Vimal's 1 day work = $$\frac{1}{{20}}$$
Since, Vimal and Kamal can together complete in 12 days
i.e. (Vimal + Kamal)'s 1 day work = $$\frac{1}{{12}}$$
Then,
Kamal's 1 day work,
$$ = \frac{1}{{12}} - \frac{1}{{20}} \Rightarrow \frac{2}{{60}} \Rightarrow \frac{1}{{30}}$$
If Kamal Works only for half a day daily, then his 1 day work becomes $$\frac{1}{2} \times \frac{1}{{30}}$$  = $$\frac{1}{{60}}$$
Therefore, 1 day work of both Vimal and Kamal,
$$ = \frac{1}{{20}} + \frac{1}{{60}} \Rightarrow \frac{4}{{60}} \Rightarrow \frac{1}{{15}}$$
Hence, the work will be completed in 15 days.