Fluid supply system for appliance

A dishwasher includes a tub formed by a plurality of walls defining an interior and an exterior, a first conduit coupled to the tub, a valve coupled to the first conduit, a rack moveable between an engaged horizontal position and a disengaged horizontal position and between an upper vertical position and a lower vertical position, and a second conduit coupled to the rack. A first portion of the second conduit engages the valve when the rack is in the upper vertical position, and a second portion of the second conduit engages the valve when the rack is in the lower vertical position. The valve permits fluid to flow from the first conduit to the second conduit when the rack is in the engaged horizontal position. The valve does not permit fluid to flow from the first conduit to the interior when the rack is in the disengaged horizontal position.