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A car completes the first half of its journey with a velocity V₁ and the remaining half with a velocity V₂. Then the average velocity of the car for the whole journey is

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

$\sqrt{V_{1} V_{2}}$

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

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

answer is C.

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Detailed Solution

first half dist. Velocity $V_{1}$

second half dist. Velocity $V_{2}$

Let Total distance be 2x

Avg Velocity $= \frac{2 x}{\frac{x}{V_{1}} + \frac{x}{V_{2}}}$

$= \frac{2 V_{1} V_{2}}{V_{1} + V_{2}}$

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