If a person moving along a straight line path covers first 13 rd distance with velocity v1 & second 13 rd distance with velocity v2 & last 13 rd distance with velocity v3 then the average velocity of the person is

S/3S/3S/3V1V2V3VAvg=31v1+1v2+1v3

If a person moving along a straight line path covers first 13 rd distance with velocity v1 & second 13 rd distance with velocity v2 & last 13 rd distance with velocity v3 then the average velocity of the person is

S/3S/3S/3V1V2V3VAvg=31v1+1v2+1v3

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If a person moving along a straight line path covers first $\frac{1}{3}$ rd distance with velocity $v_{1} &$ second $\frac{1}{3}$ rd distance with velocity $v_{2} &$ last $\frac{1}{3}$ rd distance with velocity $v_{3}$ then the average velocity of the person is

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

$\frac{v_{1} + v_{2}}{2 \sqrt{v_{1} v_{2}}}$

$\frac{3}{\frac{1}{v_{1}} + \frac{1}{v_{2}} + \frac{1}{v_{3}}}$

$\frac{v_{1} v_{2}}{v_{1} + v_{3}}$

answer is C.

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Detailed Solution

S/3	S/3	S/3
$V_{1}$	$V_{2}$	$V_{3}$

$V_{A v g} = \frac{3}{\frac{1}{v_{1}} + \frac{1}{v_{2}} + \frac{1}{v_{3}}}$

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If a person moving along a straight line path covers first 13 rd distance with velocity v1 & second 13 rd distance with velocity v2 & last 13 rd distance with velocity v3 then the average velocity of the person is

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If a person moving along a straight line path covers first $\frac{1}{3}$ rd distance with velocity $v_{1} &$ second $\frac{1}{3}$ rd distance with velocity $v_{2} &$ last $\frac{1}{3}$ rd distance with velocity $v_{3}$ then the average velocity of the person is