Question : A, B, and C together can complete a work in 5 days. A and B together can complete the same work in 6 days. C alone can finish the same work in how many days?
Option 1: 60 days
Option 2: 30 days
Option 3: 15 days
Option 4: 20 days
Correct Answer: 30 days
Solution :
1 day's work of A, B and C = $\frac{1}{5}$
1 day's work of A and B = $\frac{1}{6}$
1 day's work of C = $\frac{1}{5}-\frac{1}{6}=\frac{6-5}{30}=\frac{1}{30}$
$\therefore$ C alone can complete the work in 30 days.
Hence, the correct answer is 30 days.
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