The β decay of 40Ti and 41Ti was studied by measuring the b-delayed proton and g emission. The half-lives for 40Ti and 41Ti were determined to be 54 (2) and 82 (3)ms, respectively. The experimental β-decay strengths are compared with shell-model calculations and results from other measurements. The integrated Gamow-Teller strengths for 40Ti and 41Ti were found to be quenched, compared to the calculations, by factors of 0.79 (3) and 0.93 (3), respectively. Based on the experimental 40Ti β-decay strength, the neutrino absorption cross section and induced neutrino event rates for 40Ar were determined to be 14.3 (3) 310243cm2 and 9.4 60.2 (stat) 21.6 11.3 (syst) SNU, respectively.