A body covers half of its distance with speed $u$ and the other half with a speed $v$, the average speed of…

A body covers half of its distance with speed $u$ and the other half with a speed $v$, the average speed of the body is
  1. $\frac{2 u v}{u+v}$
  2. $\frac{u-v}{2}$
  3. $\frac{u+v}{2 u v}$
  4. $\frac{u+v}{2}$

Solution

Average speed $=\frac{\text { Total Distance }}{\text { Time }}=\frac{d}{\left(\frac{d / 2}{u}\right)+\left(\frac{d / 2}{v}\right)}=\frac{2 u v}{u+v}$

Asked in: MHT CET 2022 (11 Aug Shift 1)

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