In a previous publication by the author, a kinetic analysis of two consecutive irreversible first-order reactions was carried out in order to estimate values of the two rate constants k1 and k2. The procedure employed involved the use of the database PARADOX 3 which contained a powerful script language called PAL. A computer run was performed utilizing an algorithm based on a derived expression, and which involved an iteration method. The k values obtained were in satisfactory agreement with both theoretical and experimental values. The aim of this paper is now to extend the preceding to a kinetic analysis of two parallel irreversible first-order reactions, each yielding a common product. Again, a PAL script was employed along with a somewhat modified algorithm. The k values are in satisfactory agreement with theoretical and with experimental data, where available.