Halliday, Resnick & Walker — Potential Energy and Conservation of Energy: Problem 107

The only force acting on a particle is conservative force \(\vec{F}\). If the particle is at point \(A\), the potential energy of the system associated with \(\vec{F}\) and the particle is \(40\text{ J}\). If the particle moves from point \(A\) to point \(B\), the work done on the particle by \(\vec{F}\) is \(+25\text{ J}\). What is the potential energy of the system with the particle at \(B\)?