Multiple choice

A car covers the first half of the distance between two places at $40kmph$ and the other half at $60kmph$. The average speed of the car is :

  1. $40kmph$
  2. $48kmph$
  3. $50kmph$
  4. $60kmph$
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B Correct answer
Explanation

Average speed for equal distances covered at speeds v1 and v2 is given by 2 * v1 * v2 / (v1 + v2). Plugging in the values: 2 * 40 * 60 / (40 + 60) = 4800 / 100 = 48 kmph.

AI explanation

When equal distances are covered at two different speeds, apply the harmonic mean formula for average speed: 2xy / (x + y). Substituting the given speeds gives (2 * 40 * 60) / (40 + 60), resulting in 4800 / 100. The average speed of the car is 48 kmph.

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