The relative viscosity of concentrated suspensions of mixtures of rodlike and spherical particles are measured by falling-ball rheometry. The suspensions are well mixed and homogeneous in the sense that the particles are well dispersed and the rods are randomly oriented. For a constant total volume fraction of solids, the addition of spheres to suspensions of rods results in large decrease in the relative viscosity of the suspension. In these experiments the length of the suspended rods is approximately 10 times the diameter of the suspended spheres. Due to this difference in the characteristic sizes of the two types of particles, the spheres may be considered as part of the suspending homogeneous continuum. A simple model based on this physical picture, after Farris [1968], is very successful in predicting the relative viscosity of the mixed suspensions.