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A body travelling along a straight line traversed one third of the total distance with a velocity `v_1`, The remaining part of the distance was covered with a velocity `v_2` for half the time and with a velocity `v_3` for ihe other half of time. The mean velocity averaged over the whole time of motion is

A

`(3v_1(v_2+v_3))/(2v_1+v_2+v_3)`

B

`(3v_1(v_2+v_3))/(4v_1+v_2+v_3)`

C

`(3v_1(v_2+v_3))/(v_1+v_2+v_3)`

D

`(v_1(v_2+v_3))/(3v_1+v_2+v_3)`

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The correct Answer is:
B
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