A takes twice as much time as B or thrice as much time as C to finish a piece of

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:

Options:

A . 4 days

B . 6 days

C . 8 days

D . 12 days

Answer: Option B

Suppose A, B and C take x, \(\frac{x}{2}and\frac{x}{3}\) days respectively to finish the work.

Then, \(\left(\frac{1}{x}+\frac{2}{x}+\frac{3}{x}\right) =\frac{1}{2}\)

\(\frac{6}{x}=\frac{1}{2}\)

x = 12.

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

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