First slide

Average Speed

Question

A car moves from X to Y with a uniform speed $υ_{u}$ and returns to Y with a uniform speed $υ_{d} .$ the average speed for this round trip is:

Moderate

A

$\frac{2 υ_{d} υ_{u}}{υ_{d} + υ_{u}}$
B

$\sqrt{υ_{u} υ_{d}}$
C

$\frac{υ_{u} υ_{d}}{υ_{d} + υ_{u}}$
D

$\frac{υ_{u} + υ_{d}}{2}$

Solution

$T i m e t a k e n = \frac{d}{u_{u}} + \frac{d}{u_{d}} d i s \tan c e = 2 d a v e r a g e s p e e d = \frac{2 d u_{u} u_{d}}{d (u_{u} + u_{d})}$

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