This work establishes that nonFourier heat conduction can be important for predicting solid-phase Arrhenius reaction rates. The importance stems from nonFourier transient temperatures that are significantly higher than temperatures based on the classical model of Fourier＇s law. In turn, these higher temperatures dramatically increase reaction rates. To establish the importance, this work analyzes thermal ignition of a semi-infinite solid governed by nonFourier "hyperbolic conduction" while subjected to a constant heat flux at its surface. The solid could represent, for example, a granular propellant since recent experiments provide evidence of nonFourier conduction in some granular materials. The work develops an approximate expression for ignition time and solves the governing equations for the reacting solid with the method of characteristics. Results include higher surface temperatures than Fourier values. These higher temperatures cause a 70% reduction in ignition time compared to the Fourier ignition time. Finally, this work can apply to nonFourier conduction and solid-phase Arrhenius rate processes involved in the emerging field of microengineering.