A vehicle travels half the distance with speed v and the remaining distance with speed 2v . Its average speed is: - Physics MCQ NEET 2023 2026 | ExamTest.live | ExamTest.live

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A vehicle travels half the distance with speed v and the remaining distance with speed 2 v . Its average speed is:

A $\frac{v}{3}$
B $\frac{2 v}{3}$
C $\frac{4 v}{3}$
D $\frac{3 v}{4}$

Solution & Step-by-step Explanation

When equal distances are covered with different speeds v_{1} and v_{2}, the average speed is given by the harmonic mean: v_{a vg} = \frac{2 v _{1} v _{2}}{v _{1} + v _{2}} Given v_{1} = v and v_{2} = 2 v : v_{a vg} = \frac{2 \times v \times 2 v}{v + 2 v} = \frac{4 v ^{2}}{3 v} = \frac{4 v}{3}

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A vehicle travels half the distance with speed v and the remaining distance with speed 2 v . Its average speed is:

A

\frac{v}{3}

B

\frac{2 v}{3}

C

\frac{4 v}{3}

D

\frac{3 v}{4}

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