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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:

4 days
6 days
8 days
12 days
Explanation:

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

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

$\Rightarrow \dfrac{6}{x} $=$ \dfrac{1}{2} $

$\Rightarrow x $ = 12.

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

Additional Questions

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