I could not find a rest period standard for the PFA (1-1-1) either.
However this is listed for the APFT (2-2-2):
The APFT consists of push-ups, sit-ups, and a 2-mile run—done in that order—on the same day. Soldiers are allowed a minimum of 10 minutes and a maximum of 20 minutes rest between events. All three events must be completed within two hours. The test period is defined as the period of time that elapses from the start to the finish of the three events (from the first push-up performed to the last Soldier crossing the finish line of the 2-mile run event).
Source:
https://m.goarmy.com/content/dam/go...dfs/hs-scholarship-physical-assessment-17.pdf