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If he left as per the time given by  the Aeroclub member at West Melton, and the Halkett resident (as “12 ish”), and so taken as 12.00pm:

100 knots = 2.12pm
110 knots = 1.59pm<
120 knots = 1.53pm
130 knots = 1.41pm

Taking into account the general pattern of the weather that day appeared to be predominantly north-westerly  I would say at a guess, the ground speed would have been somewhere around the 100 to 110 knot mark.
The majority of observations of this plane seen/heard in the Haast area was in the 2.00pm range, so this calculates pretty well.
Going by the information given in the reports from Haast - Jackson Bay - Mussel Point - up to a report given by Barbara Dibben (just north of Haast), we can again calculate that FMQ traveled in the region of 46 n.miles, which added to the times above:

100 knots = 2.39pm
110 knots = 2.24pm<
120 knots = 2.16pm
130 knots = 2.02pm

Given that Barbara Dibben gave a time of 2.30pm when she saw it, still shows that the 100 to 110 knots range is pretty good.
He would have been flying into a head wind heading south of Haast and hence would have had a lower ground speed, but because he turned around and headed north again, this would have given him a tailwind, and as the distances are roughly equal, it time would balance out - slower down/faster back.
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