A vehicle travels half the distance L with speed V $_{1}$ and the other half with speed with V $_{2}$ what is the average speed?

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Solution

Let the total distance is d.

Then the time taken to cover the first half distance is:

$= \frac{\frac{d}{2}}{v_{1}}$

Similarly,

The time taken in second half is:

$= \frac{\frac{d}{2}}{v_{2}}$

Thus the average speed is:

$s = \frac{d}{\frac{d}{2} v_{1} + \frac{d}{2} v_{2}}$

$= \frac{2 v_{2} v_{1}}{v_{1} + v_{2}}$

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