A takes twice as much time as B or thrice as much time as C to finish…

Question

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

Accepted Answer

Option B. 6 days. Answer & Solution Answer: Option B Solution: & Suppose\, A,\, B\, and\, C\, take & x,\,x/2,\,x/3\, days\, respectively\, to\, finish\, the\, work & Then,\, 1/x + 2/x + 3/x = 1/2 & 6/x = 1/2 & x = 12 & So,\, B\, takes\, 122 & = 6\, days\, to\, finish\, the\, work