What time is it ? ... at 14:20

Two clocks with equal precisions:

  • Clock 1: it is 14:19 with 5 mn precision

  • Clock 2: it is 14:23 with 5 mn precision

  • Best estimate: it is 14:21 with 3.5 mn (\(\sim 5/\sqrt 2\)) precision

Two clocks with inequal precisions:

  • Clock 1: it is 14:19 with 2 mn precision

  • Clock 2: it is 14:23 with 5 mn precision

  • Best estimate: it is 14:19:32 with 1.85 mn (\(\sim 10/\sqrt {29}\)) precision

Which method to perform this estimation?