d=d₁+d₂+d₃
t=t₁+t₂+t₃
d₁=d/2
d₂=d₁/2=d/4
d₃=d/4
t₁=d₁/v₁=d/2/v₁=d/2v₁
t₂=d₂/v₂=d/4/v₂=d/4v₂
t₃=d₃/v₃=d/4/v₃=d/4v₃
d=vm*t=>vm=d/t=d/(t₁+t₂+t₃)=d/(d/2v₁+d/4v₂+d/4v₃)=d/[d(1/2v₁+1/4v₂+1/4v₃)]=1/(1/2v₁+1/4v₂+1/4v₃)=1/(2v₂v₃+v₁v₃+v₁v₂)/4v₁v₂v₃=4v₁v₂v₃/(2v₂v₃+v₁v₃+v₁v₂)