A vehicle travels half the distance with speed v and the remaining distance with speed 2 v . Its average speed is [2023]

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Solution

Q.
A vehicle travels half the distance with speed $v$ and the remaining distance with speed $2 v$ . Its average speed is [2023]

1 $\frac{4 v}{3}$

2 $\frac{3 v}{4}$

3 $\frac{v}{3}$

4 $\frac{2 v}{3}$

Ans.
(1)

Average speed = $\frac{Total distance}{Total time taken}$

$Average speed = \frac{2 v_{1} v_{2}}{v_{1} + v_{2}}$

$Average speed = \frac{2 \times v \times 2 v}{v + 2 v} = \frac{4 v^{2}}{3 v} = \frac{4}{3} v$

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