The Problem: After long showers water flows into our kitchen below. Recently my young son took a bath in the corner tub (right next to the shower), running water again for a long time, and then water also began pouring into the kitchen below.

What I see so far:
I've cut open the ceiling of my kitchen and observed the leak coming through the subfloor above. There are several water spots that have appeared on the kitchen ceiling as far as 10-15 feet away from the "pour through" spot.

The spot where the water comes through is located under our tile bathroom floor approximately 2 feet from the tub drain and 3 feet from the shower. We have no evidence of water in the floor of the bathroom. I reached through the tub's jet's motor ventilation door and could touch the floor and it was not wet.

Need: To find the leak and fix it!! Thanks for your help.