A car completes its journey in a straight line in three equal parts with speeds `v_1,v_2 and v_3` respectively. The average speed `v` is given by :A. `(v_1 + v_2 + v_3)/(3)`B. `3 sqrt(v_1 v_2 v_3)`C. `(1)/(v)=(1)/(v_1)+(1)/(v_2)+(1)/(v_3)`D. `(3)/(v)=(1)/(v_1)+(1)/(v_2)+(1)/(v_3)`

A car completes its journey in a straight line in three equal parts wi

1.	A car completes its journey in a straight line in three equal parts with speeds `v_1,v_2 and v_3` respectively. The average speed `v` is given by :A. `(v_1 + v_2 + v_3)/(3)`B. `3 sqrt(v_1 v_2 v_3)`C. `(1)/(v)=(1)/(v_1)+(1)/(v_2)+(1)/(v_3)`D. `(3)/(v)=(1)/(v_1)+(1)/(v_2)+(1)/(v_3)`
Answer» Correct Answer - D Average speed, `v = ("Total distance")/("Total time")` =`(s)/((s//3)/(v_1)+ (s//3)/(v_2)+(s//3)/(v_3)) =(3)/((1)/(v_1)+(1)/(v_2)+(1)/(v_3))` `rArr (3)/(v)=(1)/(v_1)+(1)/(v_2)+(1)/(3)`.

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A car completes its journey in a straight line in three equal parts with speeds `v_1,v_2 and v_3` respectively. The average speed `v` is given by :A. `(v_1 + v_2 + v_3)/(3)`B. `3 sqrt(v_1 v_2 v_3)`C. `(1)/(v)=(1)/(v_1)+(1)/(v_2)+(1)/(v_3)`D. `(3)/(v)=(1)/(v_1)+(1)/(v_2)+(1)/(v_3)`

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