Correct Answer - Option 2 : 2 days
Given :
A can complete a task in 18 days while B can complete the same task in 12 days.
Both worked for 6 days, then A left.
Concept used :
Total work = Work per day × Number of working days
Calculations :
Total work = LCM of 12 and 18 = 36 units
A's per day work = 36/18 = 2 units
B's per day work = 36/12 = 3 units
Their total work in 6 days = 6 × (2 + 3)
⇒ 30 units
Remaining work = 36 - 30 = 6 units
Time taken by B to complete the remaining work = 6/3
⇒ 2 days
∴ Option 2 will be the right answer.