Repairing broken tines

[prime311]

I just purchased a dishwasher to replace one I had leaking and needing a new pump.  Runs great, but the only problem is that a few parts of the rack is rusting.  Most of the rusting areas occur at the end of the tines and I got some plastic repair caps and paint to fix these.  The only problem is 2 of the tines are rusted and bending right by the base.  Does anyone have some tips for repairing these 2?  One thing I was thinking of doing was cutting the ends off a couple caps and using these to reconnect the tine.  I'd prefer something more like a mini version of a PVC extender, something more solid then flexible.