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In this paper, a new power/rate control scheme is proposed to increase the network throughputs of carrier-sense-multiple-access-with-collision-avoidance (CSMA/CA)-based wireless ad hoc networks with multiple transmission rates. The design principle of the scheme is to utilize the space-time resource efficiently. For this purpose, a new measure that evaluates the space-time resource consumption per bit transmission is introduced. Simulation results show that the proposed scheme is effective in improving network throughputs under the two-ray ground reflection model and the Ricean model.