Really impossible to predict, it's dependent on how high the TDS is of the water coming outta your RO, how much water, the temperature of the water, how much CO2 is dissolved in the water, the phase of the moon...
(Kidding on the phase of the moon bit, but it wouldn't suprise me)
There's something wrong with my RO, and my RO product water is coming out near 100 TDS, but the DI is lasting about a month before my DI product water's TDS starts to rise about 0... With a properly working RO, the DI cartridge should last just as long as a factory made DI cartridge will last in your system though...