Line segment

AB
with the length ais divided by points P and Q into three line segments:
AP
,
PQ
, and
QB
, such that AP = 2PQ = 2QB. Find: (1) The distance between point A and the midpoint of segment
QB
; (2) The distance between the midpoints of the segments
AP
and
QB
.

1 answer

Let the length of PQ = x
Then AP = QB = 2x
So, the midpoints of AP and QB divide AP into five equal segments.
Now you should be able to answer the questions easily.
I assume you have drawn the diagram ...