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A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

9$ \dfrac{1}{5} $days
9$ \dfrac{2}{5} $days
9$ \dfrac{3}{5} $days
10
Explanation:

$\left(A + B + C\right)$s 1 days work =$ \dfrac{1}{4} $,

As 1 days work =$ \dfrac{1}{16} $,

Bs 1 days work =$ \dfrac{1}{12} $.

Cs 1 days work =$ \dfrac{1}{4} $-$ \left(\dfrac{1}{16} +\dfrac{1}{12} \right) $=$ \dfrac{1}{4}-\dfrac{7}{48}$=$ \dfrac{5}{48} $.

So, C alone can do the work in$ \dfrac{48}{5} $= 9$ \dfrac{3}{5} $days.

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