Dripping tap controlled by bidet tap?

[Mickeyfish]

We live in a UK bungalow that has bathroom & kitchen on the same level. We have a bidet, obviously in the bathroom which the hot water tap controls the flow of pressure of hot water from the kitchen tap. The kitchen HW tap has to be running at the same time creating a spluttering air lock release at the bidet end. After this the kitchen hoy water tap stops dripping. Any ideas.