Answer:
Time
taken for distance (\[{{s}_{1}}\]) is given by,
Time taken for
distance (\[{{s}_{2}}\]) is given by,
Total distance
covered = \[{{s}_{1}}+{{s}_{2}}\] Total time taken =\[{{t}_{1}}+{{t}_{2}}\]
\[\therefore
\]\[Average\,velocity=\frac{total\,dis\tan
ce}{total\,time\,taken}=\frac{{{s}_{1}}+{{s}_{2}}}{{{t}_{1}}+{{t}_{2}}}=\frac{{{s}_{1}}+{{s}_{2}}}{({{s}_{1}}/{{\upsilon
}_{1}})+({{s}_{2}}/{{\upsilon }_{2}})}=\frac{\left( {{s}_{1}}+{{s}_{2}}
\right){{\upsilon }_{1}}{{\upsilon }_{2}}}{{{s}_{1}}{{\upsilon
}_{2}}+{{s}_{2}}{{\upsilon }_{1}}}\]
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