A and B can together finish a work in 30 days. They worked together for 20 days and B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the job ?

A. 40 days

B. 50 days

C. 54 days

D. 60 days

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & \left( {{\text{A}} + {\text{B}}} \right){\text{'s 20 day's work}}{\text{.}} \cr & = \left( {\frac{1}{{30}} \times 20} \right) \cr & = \frac{2}{3} \cr & {\text{Remaining work }} \cr & = \left( {1 - \frac{2}{3}} \right) \cr & = \frac{1}{3}{\text{ }} \cr} $$
Now, $$\frac{1}{3}$$ work is done by A in 20 days
Whole work will be done by A in (20 × 3) = 60 days.