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The Vera Rubin Observatory will provide an unprecedented set oftime-dependent observations of the sky. The planned Legacy Survey of Space andTime (LSST) operating for 10 years will provide dense lightcurves for thousandsof active galactic nuclei (AGN) in Deep Drilling Fields (DDFs) and less denselightcurves for millions of AGN. We model the prospects for measuring timedelays for emission lines with respect to the continuum, using these data. Wemodel the artificial lightcurves using Timmer-Koenig algorithm, we use theexemplary cadence to sample them, we supplement lightcurves with the expectedcontamination by the strong emission lines (Hbeta, Mg II and CIV as well aswith Fe II pseudo-continuum and the starlight). We choose the suitablephotometric bands appropriate for the redshift and compare the assumed linetime delay with the recovered time delay for 100 statistical realizations ofthe light curves. We show that time delays for emission lines can be wellmeasured from the Main Survey for the bright tail of the quasar distribution(about 15% of all sources) with the accuracy within 1 sigma error, for DDFsresults for fainter quasars are also reliable when all 10 years of data areused. There are also some prospects to measure the time delays for the faintestquasars at the smallest redshifts from the first two years of data, andeventually even from the first season. The entire quasar population will allowobtaining results of apparently high accuracy but in our simulations, we see asystematic offset between the assumed and recovered time delay depending on theredshift and source luminosity which will not disappear even in the case oflarge statistics. Such a problem might affect the slope of theradius-luminosity relation and cosmological applications of quasars ifsimulations correcting for such effects are not performed.

Expectations for time-delay measurements in active galactic nuclei with the Vera Rubin Observatory