Question Bank • QB_EXP_GA_TWS_003 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative: Time, Work, Speed, Distance & Pipes

Subtopic: Average speed for round trip

Question Statement:

A vehicle travels from town A to town B at speed $u$, and returns back from town B to town A along the same route at speed $v$. The average speed for the entire round trip is:

Options:

  • (A) $\frac{2 u v}{u + v}$
  • (B) $\frac{u + v}{2}$
  • (C) $\sqrt{u v}$
  • (D) $\frac{u v}{u + v}$

Answer Key:

A

Step-by-Step Solution & Explanation

Average speed is total distance divided by total time: $v_{\text{avg}} = \frac{2 D}{\frac{D}{u} + \frac{D}{v}} = \frac{2 D}{D \left( \frac{u + v}{u v} \right)} = \frac{2 u v}{u + v}$ (the harmonic mean of speeds).
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