We had our Mini delivered monday, a used cooper with 7k miles on the clock. We noticed straight away that the car whined when on, we just thought it was the engine sound. By the second day the steering became rather tough. By the third day, the whining noise did not go off when the engine was turned off, it stayed on forever so we had to have our neighbour disconnect the battery to get it to go off.
Obviously the power steering is screwed....is this a common problem with Minis?