We report a thermodynamic and transport study of the phase diagram of CeRh1
-xIrxIn5. Bulk superconductivity is observed over a broad range of doping,
0.3<x<less than or equal to>1, including a substantial range (0.3<x<0.6) ov
er which it coexists with magnetic order (which is observed for 0 less than
or equal tox<0.6). The anomalous transition to zero resistance that is obs
erved in CeIrIn5 is robust against Rh substitution: the bulk T-c in CeRh0.5
Ir0.5In5 is more than double that of CeIrIn5, whereas the zero-resistance t
ransition temperature is relatively unchanged for 0.5<x<1.