HST WFPC2 observations of Cepheids in M96 (NGC 3368) are used to find a dis
tance to that galaxy of 11.2 +/- 1.0 Mpc. This estimate is based on a calib
ration of the Cepheid period-luminosity relation in the Large Magellanic Cl
oud, and includes a correction for the difference in metallicity between th
e two systems. There are good reasons for believing M96 is at the same dist
ance as four E/S0 galaxies in the Leo-I group, and hence we calibrate secon
dary distance indicators based on the early-type galaxies, namely the funda
mental plane and surface-brightness-fluctuation method. Also the Type Ia su
pernova 1998bu occurred in M96 itself and is used to calibrate the SN Ia di
stance scale. These methods reach to recession velocities of greater than 5
000 km s(-1) and can therefore allow us to evaluate the Hubble constant wit
hout reference to the peculiar velocity of M96 itself. In fact, these indic
ators agree well between themselves and hence we find H-0 = 67 +/- 7 km s(-
1) Mpc(-1) where the quoted error includes estimates of potential systemati
c effects.