Does my water have plastic in it?

I’m working at a kids Summer camp right now. Whenever they need to bring lots of water with them, they fill up these huge sports coolers, which are completely made of plastic.

When I fill up a cup of this water it’s cold, but it tastes horrible, similar to what I would think the flavor of plastic would taste like. The water that they fill these containers with is very fresh and filtered from their camp kitchen, so the change must be from the coolers.

Is this just an awkward taste, or is it possibly harmful? I feel nauseous from drinking it (and a few kids have agreed with me).