I really don't recall a significant vibration on the paddle with the old brake master pump or the newer pump: I can hear it is running but no vibrations.
How many miles on the vehicle? If you are close to 250 K, I'd say get an entire new assembly. I installed it by my self and it works!
If the pump runs for 40 seconds, then I'd say it is too much. A brand new unit I installed few months ago, runs about 25 seconds and hardly comes on for next 5-10 minutes.
the issue you are having is the accumulator filed with N2 is leaking so the motor has to run constantly to replenish the...