We show that it is possible to determine the weak phase gamma-arg(-V-ub*V-ud/V-cb*V-cd) of the Cabibbo-Kobayashi-Maskawa flavor mixing matrix only from the measurement of the color-allowed B-u(+/-)-->DK+/- decay rates. The uncertainty of this method, arising mainly from the factorization approximation for two tree-level spectator quark transitions, may be well controlled. [S0556-2821(98)04019-3].