Discussion
A can lay railway track between two given stations in 18 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
C alone can do the job in 9 days. A does \(\frac{1}{18}\) of the work in a day and B does \(\frac{1}{12}\), together \(\frac{5}{36}\). With C's help the whole job takes 4 days, so the three together do \(\frac{1}{4}\) per day. \[ \frac{1}{4} - \frac{5}{36} = \frac{9 - 5}{36} \] \[ \frac{4}{36} = \frac{1}{9} \] So C does \(\frac{1}{9}\) of the job per day and needs 9 days alone. The options 13, 11 and 10 days would give C a daily share of less than 1/9.
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