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Question 1

A person travels $$x$$ distance with velocity $$v_1$$ and then $$x$$ distance with velocity $$v_2$$ in the same direction. The average velocity of the person is $$v$$, then the relation between $$v$$, $$v_1$$ and $$v_2$$ will be

Average velocity for equal distances: $$v = \frac{2x}{x/v_1 + x/v_2} = \frac{2v_1v_2}{v_1 + v_2}$$

This gives: $$\frac{2}{v} = \frac{v_1 + v_2}{v_1v_2} = \frac{1}{v_1} + \frac{1}{v_2}$$

The correct answer is Option 4.

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