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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:

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:

[A].

4 days

[B].

6 days

[C].

8 days

[D].

12 days

Answer: Option B

Explanation:

Suppose A, B and C take x, x and x days respectively to finish the work.
2 3
Then, 1 + 2 + 3 = 1
x x x 2
6 = 1
x 2

x = 12.

So, B takes (12/2) = 6 days to finish the work.