A) \[\frac{1}{2}\sqrt{{{v}_{1}}{{v}_{2}}}\]
B) \[\frac{{{v}_{1}}+{{v}_{2}}}{2}\]
C) \[\frac{2{{\upsilon }_{1}}{{\upsilon }_{2}}}{{{\upsilon }_{1}}+{{\upsilon }_{2}}}\]
D) \[\frac{5{{\upsilon }_{1}}{{\upsilon }_{2}}}{3{{\upsilon }_{1}}+2{{\upsilon }_{2}}}\]
Correct Answer: D
Solution :
Average speed \[=\frac{\text{Total distance travelled}}{\text{Total time taken }}\] \[=\frac{x}{\frac{2x/5}{{{v}_{1}}}+\frac{3x/5}{{{v}_{2}}}}\]\[=\frac{5{{v}_{1}}{{v}_{2}}}{3{{v}_{1}}+2{{v}_{2}}}\]
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