Two Umpires System question

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Under the 2 man system, the base umpire is responsible for the batter-runner all the way to 3rd base (page 245).

On all balls hit through the infield the mechanic I use is to button hook into the infield and observe the BR touch 1st base. This puts you in a good position to watch if there is a throw from the outfield to first or to cut across the infield as the BR continues running to 2nd and/or 3rd.

Hope this helps.