ta có
t1=\(\frac{s}{v_1}\) t2=\(\frac{s}{v_2}\) t3=\(\frac{s}{v_3}\)
Nên: vtb=\(\frac{s+s+s}{t_1+t_2+t_3}\)=\(\frac{3s}{\frac{s}{v_1}+\frac{s}{v_2}+\frac{s}{v_3}}\)=\(\frac{3s}{s\left(\frac{1}{v_1}+\frac{1}{v_2}+\frac{1}{v_3}\right)}\)=\(\frac{3}{\frac{1}{v_1}+\frac{1}{v_2}+\frac{1}{v_3}}\)