One taxonomy, two content types, term pages for each content type

I have two content types that share a taxonomy (which is used to tag a node with various categories eg. transport, motorcycle).

However, in the list of nodes, when the user clicks a term, they get a list of nodes for that term from both content types.

Is it possible to restrict the view to just one content type? (So if the user is viewing all the type A nodes and click a term, they only get a list of type A nodes with that term.)

Obviously I can create the views, but I can't see a way of linking to them from the terms.

Currently the only way I can see to do it is to have two identical taxonomies, one for each of the content types. Although this is obviously not ideal.