Question

# 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?

Solution

## Let the total distance is d.Then the time taken to cover the first half distance is:$$=\dfrac{\dfrac{d}{2}}{v_1}$$Similarly, The time taken in second half is:$$=\dfrac{\dfrac{d}{2}}{v_2}$$Thus the average speed is:$$s=\dfrac{d}{\dfrac{d}{2}{v_1}+\dfrac{d}{2}{v_2}}$$$$=\dfrac{2v_2v_1}{v_1+v_2}$$Physics

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