From what you say it sounds like the pressure switch is set to turn on at 40 and off at 60. The pressure would only stay at 60 if you stop using water before the pump turns off. If you draw water after the pump turned off, the pressure will drop. If you use enough water for it to drop to 40, the pump starts up and so the cycles go.
So far you have not described anything that would suggest "dismal water pressure", only normal operation.