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UPPSC PCS 2024 · Question 71 of 150

A bus covers the first half of a certain distance with speed v1 and the second half with a speed v2. The average speed during the whole journey is :

General Knowledge

  1. Al 2 1 2 v v v v +
  2. Bl 2 1 2 2v v v v +Correct
  3. Cl 2 v v 2 +
  4. Dl 2 v v

Answer: B. l 2 1 2 2v v v v +

Explanation

The average speed (vavgv_{avg}vavg​) for the whole journey when the distances are equal is calculated using the harmonic mean of the two speeds:2v1v2/(v1+v2) This formula applies when the journey is divided into two equal parts by distance. The other options do not represent the correct formula for average speed under these conditions.

Source: edurev.in UPPSC Prelims 2024 GS Paper I (English); answers per selfstudywala.com detailed solution based on UPPCS official answer key

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