A takes twice as much time as B & C takes thrice as much time as B to finish a piece of work. Working together they can finish the work in 18 days. The no. of days need for B to do the work alone is?  Choose the correct choice from the following choices
A) 30 days
B) 31 days
C) 33 days
D) 41 days
E) 52 days
Let A takes x days to complete the work , then B takes   x/2   days and C takes   3x/2   days to complete the work.   A,B and 33 days together complete the work in 18 days   In 1 day , all they together can do =&gt; 1/x+ 2/x+ 2/3x   = 1/18   3+6+2/3x = 1/18   3x23x2 = 18   X = 66 days   The number of days B alone takes to finish the work = x/2   = 33 days   33 days
<result>C</result>
A takes twice as much time as B & C takes thrice as much time as B to finish a piece of work. Working together they can finish the work in 18 days. The no. of days need for B to do the work alone is?