For tires, we're going to run Continental 4000s 23mm in the front, and 25mm in the back. At our team weight the 23mm is probably pushing it, but with the trispoke front wheel the 23mm tire should be more aero.
As for training, lots of steady state intervals, such as 2x20, 3x20, 4x15 at or just below lactate threshold.
The only difference we've found in training is that a slightly lower cadence seems to work better for us, than I would ride on my single bike. I would typically do a TT with a cadence in the high 90's to 100. I've found, however, that my stoker tends to put out more power at little bit lower cadnece where she can feel the resistence more. So we'll be working with a lower cadence, around 85 rpm.
The challenge in any time trial is measuring the effort so that you don't blow up, but you also fully spend yourself. Getting this right would appear to be that much more difficult on a tandem, so that each rider is doing all the work they can, but not too much work.
Other than working with HRMs, the only answer I have for that issue is a lot of time in the saddle. (I refrained from using the acronym,given the more genteel nature of the tandem forum.

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