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We report molecular gas observations of IRAS 20100-4156 and IRAS 03158+4227,two local ultraluminous infrared galaxies (ULIRGs) hosting some of the fastestand most massive molecular outflows known. Using ALMA and PdBI observations, wespatially resolve the CO(1-0) emission from the outflowing molecular gas inboth and find maximum outflow velocities of $ v_{\rm max} \sim 1600$ and $\sim1700$ km/s for IRAS 20100-4156 and IRAS 03158+4227, respectively. We find totalgas mass outflow rates of $\dot M_{\rm OF} \sim 670$ and $\sim 350$ Msun/yr,respectively, corresponding to molecular gas depletion timescales $\tau^{\rmdep}_{\rm OF} \sim 11$ and $\sim 16$ Myr. This is nearly 3 times shorter thanthe depletion timescales implied by star formation, $\tau^{\rm dep}_{\rm SFR}\sim 33$ and $\sim 46$ Myr, respectively. To determine the outflow drivingmechanism, we compare the starburst ($L_{*}$) and AGN ($L_{\rm AGN}$)luminosities to the outflowing energy and momentum fluxes, using mid-infraredspectral decomposition to discern $L_{\rm AGN}$. Comparison to other molecularoutflows in ULIRGs reveals that outflow properties correlate similarly with$L_{*}$ and $L_{\rm IR}$ as with $L_{\rm AGN}$, indicating that AGN luminosityalone may not be a good tracer of feedback strength and that a combination ofAGN and starburst activity may be driving the most powerful molecular outflows.We also detect the OH 1.667 GHz maser line from both sources and demonstrateits utility in detecting molecular outflows.

The dual role of starburst and active galactic nuclei in driving extreme molecular outflows