There is a check valve that if working, will not let that happen.
You could have a bad or stuck check valve or what happened to me.
I had that problem after not having a water psi thing on the hose at one place, and it caused problems with water back filling my fresh tank and overflowing it, . I ended up taking the pump apart a few times, to finally get it to stop, but never trusted it, so cut in a shut off so it will never happen again. When on city water, i shut valve off, when on tank, turn valve on.
Try shutting off the city water and running on the pump, the pump should hold pressure, if it cycles on its own, the pump may have a problem.
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