Travel speed of distant galaxies compare with nearby galaxies.

From what I know, distant galaxies travel with higher speed compare with nearby galaxies.
Distant galaxies also younger compare with nearby galaxies.
Our universe is about 13.75 billion year olds.
When we see galaxies which are 13 billion light year away from us through telescope,
the galaxies we see are actually only 750millions year olds.
and they travel at higher speed compare with (example) a nearby galaxy Andromeda, and Andromeda is about 13.5 billion year olds.
Isn't this show that as galaxies getting older, it's travel speed will also gradually decrease?

I'd think its a matter of the distance we are looking at objects. The further away the object the less accurate the measurements.
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When astronomer observe that quasars happen only in very distant galaxies, they made a conclusion:
"Because of the great distances to the furthest quasars and the finite velocity of light, we see them and their surrounding space as they existed in the very early universe."

And now the astronomer's observation is that 'high speed galaxies' happen in very distant galaxies.
Can't they make the same conclusion on the 'high speed galaxies'?

in a vacuum of course. which space isn't a complete vacuum. after several billion years I'd expect some slowing though gravity from super clusters of galaxies can clearly cause some galaxies to move faster towards the super cluster.
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