Seems the problem is possible asymmetry in the speed of network
connections.   You really can not detect this with simple "pings".
But what if you send 100MB messages?    Even using NTP  at the tens of
millisecond level you can measure the one way speed accurately if the
message is long enough.   Send one large message in each direction and
you'll have the forward to reverse speed ratio.     Now rather than
divide the round trip time by two.  We know the speed ratios for the
forward and reverse link
-- 

Chris Albertson
Redondo Beach, California

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