ahah, Seen that before!
It may not show in the boot but as fossie mentioned it will run down inner boot lining and collect in the boot locking mechanism which you don't want as there is a connector in there which it will leak into and then you will have probs with your boot lid sensor saying it is open when it's shut and the alarm sounding because of this.
Take off the boot lining (you'll need a torque driver, can't remember the size) and look at the motor, check to make sure there is no water leaking from it. that brown gunk is exactly what was in the rear washer of mine when the seals went. If you are lucky there will be no leaking. Next step, take off the cover plate of the motor, you will see that the hose for the washer push fits onto the motor assembly and that seal i think will be your problem, the rust is off the small cogs in the washer mechanism me thinks. Not sure if you can get new seals for the inner plug or the cover plate but you may be able to, failing that it's a new wiper mech..
Let us know how you get on