Discussion
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:
Answer: C
Work in rates: someone who finishes a job in \( n \) days does \( \tfrac{1}{n} \) of it a day, and rates add.
\[ \frac{1}{16} + \frac{1}{12} + \frac{1}{C} = \frac{1}{4} \]
\[ \frac{1}{C} = \frac{12}{48} - \frac{3 + 4}{48} = \frac{5}{48} \]
\[ C = \frac{48}{5} = 9\tfrac{3}{5} \text{ days} \]
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