Question Bank • QB_GA_128 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

Worker A can weed an acre of field in $8\text{ days}$, while worker B can do it in $12\text{ days}$. With the help of worker C, all three complete the task together in $4\text{ days}$. In how many days could worker C alone weed the field?

Answer Key:

24

Step-by-Step Solution & Explanation

Rate of C: $\frac{1}{C} = \frac{1}{4} - \left(\frac{1}{8} + \frac{1}{12}\right) = \frac{1}{4} - \frac{5}{24} = \frac{6 - 5}{24} = \frac{1}{24}$ Thus worker C alone takes $24\text{ days}$.
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