  In a recent paper we studied rolling tachyon flat FRW cosmologies, but those
admitting only time-reversal asymmetric boundary conditions. The time-reversal
symmetric cosmologies have been studied by Sen previously. We show explicitly
here that through appropriate choice of initial conditions, the time evolution
of the Hubble parameter in these two types of solutions can be made completely
identical for $t>0$, except near $t=0$. The rolling tachyon solution also gives
rise to necessary inflation. We find that universe does start as a string size
object (with string scale $10^{15} GeV$) with a string mass density $\simeq
10^{78} gm. cm^{-3}$ and not with Planck density.
