Question Bank • QB_GA_QA_017 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

An agricultural surveyor drives from station $A$ to research station $B$ at a uniform speed of $40\text{ km/h}$ and returns along the identical road at $60\text{ km/h}$. The average speed of the entire two-way journey in $\text{km/h}$ is ________ (answer in integer).

Answer Key:

48

Step-by-Step Solution & Explanation

When equal distances are traversed at speeds $v_1$ and $v_2$, the overall average speed is given by the harmonic mean: $v_{\text{avg}} = \frac{2 v_1 v_2}{v_1 + v_2} = \frac{2 \times 40 \times 60}{40 + 60} = \frac{4800}{100} = 48\text{ km/h}$
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