A car travels the first half time with a uniform speed u and the next half time with a uniform speed v. Find its average speed.

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Solution

The correct option is A

Step: Express total distance in terms of speed and time.

Total distance $= d = u \times$ $\frac{T}{2} + v \times \frac{T}{2}$

$d = \frac{T}{2} (u + v)$

Total time = T

$V_{a v}$ = $\frac{d}{T}$

$= \frac{\frac{T}{2} (u + v)}{T}$

$= \frac{u + v}{2}$

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A car travels the first half time with a uniform speed u and the next half time with a uniform speed v. Find its average speed.

The correct option is A Step: Express total distance in terms of speed and time. Total distance =d=u× T2+v×T2 d=T2(u+v) Total time = T Vav = dT =T2(u+v)T =u+v2

The correct option is A

Step: Express total distance in terms of speed and time.

Total distance $= d = u \times$ $\frac{T}{2} + v \times \frac{T}{2}$

$d = \frac{T}{2} (u + v)$

Total time = T

$V_{a v}$ = $\frac{d}{T}$

$= \frac{\frac{T}{2} (u + v)}{T}$

$= \frac{u + v}{2}$