An auto travels with a uniform speed u for the first half duration and the next half duration 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
Average speed $= V_{a v}$ $= \frac{d}{T}$
$= \frac{\frac{T}{2} (u + v)}{T}$
$= \frac{u + v}{2}$

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An auto travels with a uniform speed u for the first half duration and the next half duration 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 Average speed =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
Average speed $= V_{a v}$ $= \frac{d}{T}$
$= \frac{\frac{T}{2} (u + v)}{T}$
$= \frac{u + v}{2}$