To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it?
(a) 30 days
(b) 35 days
(c) 40 days
(d) 45 days
Let B can do a work in =x days
Then A can do the work
=x+x2=32x days
A and B 1 days work =118
A's 1 day's work =1x
and B's 1 day's work =23x
∴1x+23x=118
53x=118⇒3x=5×18
⇒x=5×183=30
∴ B can do the work in =30 days