Question Bank • QB_GA_QA_005 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

A contractor undertakes to excavate a drainage channel of length $12\text{ km}$ in $80\text{ days}$ by employing 60 laborers. After 50 days, only $6\text{ km}$ of the channel is completed. The number of additional laborers required to complete the remaining excavation on schedule is ________ (answer in integer).

Answer Key:

40

Step-by-Step Solution & Explanation

1. Labor expended on first $6\text{ km}$: $W_1 = 60\text{ workers} \times 50\text{ days} = 3000\text{ worker-days}$ Rate $= \frac{3000}{6} = 500\text{ worker-days per km}$. 2. Remaining work $= 12 - 6 = 6\text{ km}$, requiring $6 \times 500 = 3000\text{ worker-days}$. 3. Remaining time $= 80 - 50 = 30\text{ days}$. 4. Total workers required: $N = \frac{3000\text{ worker-days}}{30\text{ days}} = 100\text{ workers}$ 5. Additional laborers required $= 100 - 60 = 40$.
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