An analytical solution of Fendell's problem is obtained taking into account the dependencies of density and molecular diffusivities on temperature for infinitely fast chemistry. Also, the equilibrium Clayperon-Clausius condition has been used for conditions at the surface of the liquid instead of the commonly used, and inconsistent, assumption that the liquid is at the boiling temperature. The dependencies of vaporization rate and flame stand-off distance on the stretch rate are defined from the solution and shown to be proportional and inversely proportional to the square root of the strain rate, respectively.