Points on line segment

Points P & Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance: between point A and the midpoint of the segment QB.

Correct result:

x =  0.8 a

Solution:

$$\begin{gathered} a=1 \\ {a}_1=1\mathrm{/}(1+2+2)={\displaystyle \frac{1}{5}}=0.2 \\ x=(1+2+2\mathrm{/}2)\cdot a_1=(1+2+2\mathrm{/}2)\cdot 0.2={\displaystyle \frac{4}{5}}={\displaystyle \frac{4}{5}}\text{ a}=0.8\text{ a} \end{gathered}$$

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