Question Bank • QB_GA_122 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

Pipe A can fill an irrigation water tank in $12\text{ hours}$ and Pipe B can fill the same tank in $15\text{ hours}$. If both pipes are opened simultaneously, calculate the time taken to fill the tank in hours (round off to 2 decimal places).

Answer Key:

6.67

Step-by-Step Solution & Explanation

Combined filling rate: $\frac{1}{T} = \frac{1}{12} + \frac{1}{15} = \frac{5 + 4}{60} = \frac{9}{60} = \frac{3}{20}\text{ tank/hour}$ Time taken: $T = \frac{20}{3} \approx 6.667\text{ hours} \approx 6.67\text{ hours}$
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