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  • A car covers AB distance with first one-third at velocity , second

A car covers AB distance with first one-third at velocity \mathrm{v_{1} \mathrm{~ms}^{-1}}, second one-third at \mathrm{v_{2} \mathrm{~ms}^{-1}} and last one-third at \mathrm{v_{3} \mathrm{~ms}^{-1} \text {. If } v_{3}=3 v_{1}, v_{2}=2 v_{1} \text { and } v_{1}=11 \mathrm{~ms}^{-1}} then the average velocity of the car is ___________\mathrm{\mathrm{ms}^{-1}}.

Option: 1

18


Option: 2

38


Option: 3

36


Option: 4

43


Answers (1)

best_answer

\begin{aligned} \text { Avg speed } &=\frac{x}{\left(\frac{x}{3 v_{1}}+\frac{x}{3 v_{2}}+\frac{x}{3 v_{3}}\right)} \\ &=\frac{3}{\left(\frac{1}{v_{1}}+\frac{1}{v_{2}}+\frac{1}{v_{3}}\right)} \\ &=\frac{3}{\left.\frac{1}{11}+\frac{1}{22}+\frac{1}{33}\right)} \\ &=18 \mathrm{~m} / \mathrm{s} \end{aligned}

Hence 18 is correct option.

Posted by

Pankaj Sanodiya

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