A vehicle covers half the distance with uniform speed v₁ and the other half with uniform speed v₂. The average speed of the vehicle is

Question

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$\frac{v ₁ + v ₂}{2}$
$\frac{v ₁ + v ₂}{v ₁ v ₂}$
$\frac{v ₁ v ₂}{v ₁ + v ₂}$
$\frac{2 v ₁ v ₂}{v ₁ + v ₂}$

Answer 1

Correct answer: $\frac{2 v ₁ v ₂}{v ₁ + v ₂}$

Explanation: ✅ Correct Answer: D. $\frac{2 v ₁ v ₂}{v ₁ + v ₂}$ 📚 Explanation: When a journey is divided into two equal 'distances' covered at different speeds, the average speed is the harmonic mean of those speeds. The formula is 2 multiplied by v1 multiplied by v2, divided by (v1 plus v2). This calculation accounts for the different times spent on each half of the journey. it is a standard mathematical result used in many distance-speed-time problems.

Answer options

Correct answer and explanation