Question 968961
Let the time taken by B alone be x days.
Then the time taken by A alone is 3x/2 days.
In 1 day B can do 1/x of the work.
In 1 day A can do 2/3x of the work.
In 1 day they can together do 1/18th of the work.
1/x+2/3x=1/18
(3+2)/3x=1/18
5/3x=1/18
x=5/3(18)=30 days
B takes 30 days to do it alone.