Three painters have to spend 6 hours a day for 12 days to finish a work. If after 3 days one painter leaves, in how many days the remaining work will be completed?

Total $$12×6=72 hours$$ work.

In 3 days they will work for$$6×3=18$$hours.

3 people work in a day for 6 hours.

3 people work in 12 days for 72 hours.

1 man will work in a day for 2 hours.

then, 2 man will work in a day for 4 hours.

work left of $$72-18=54$$ hours.

2 man work for 4 hours in a day.

or, 2 man work for 1 hour in $$(1/4)$$ day.

or,2 man work for 54 hour in 

$$54/4=27/2$$ days.

So, Option B is correct.