Picture a long, straight corridor running east-west, with a water fountain located somewhere along it. Starting from the west end of the corridor, a woman walks a short distance east along the corridor and stops before reaching the water fountain. The distance from her to the fountain is twice the distance she has walked. She then continues walking east, passes the water fountain, and stops \(60 \mathrm{~m}\) from her first stop. Now the distance from her to the fountain is twice the distance from her to the east end of the corridor. How long is the corridor?