A) \[\frac{{{V}_{1}}+{{V}_{2}}}{2}\]
B) \[\frac{{{V}_{1}}{{V}_{2}}}{{{V}_{1}}+{{V}_{2}}}\]
C) \[\frac{2{{V}_{1}}{{V}_{2}}}{{{V}_{1}}+{{V}_{2}}}\]
D) \[\sqrt{{{V}_{1}}{{V}_{2}}}\]
Correct Answer: C
Solution :
| [c] Let distance between A and B be d. |
| \[\therefore \operatorname{Average} speed=\frac{Total distance}{Total time}\] |
| \[=\frac{2d}{\frac{d}{{{v}_{1}}}+\frac{d}{{{v}_{2}}}}=\frac{2{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\] |
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