SOLUTION: To complete a work A takes 50% more time than B. If together they take 18 days to complete tile work. How much time shall B take to do it alone?

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Question 968961: To complete a work A takes 50%
more time than B. If together they
take 18 days to complete tile work.
How much time shall B take to do it
alone?
Answer by amarjeeth123(570) About Me  (Show Source):
You can put this solution on YOUR website!
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.