An analysis of heat and mass transfer for boundary layer forced convective flow of a nanofluid past a moving flat surface parallel to a moving stream is presented. The similarity solutions for the problem are obtained and the reduced ordinary differential equations are solved numerically. To support the validity of the numerical results, comparison is made with known results from the open literature for some particular cases of the present study. When the surface and the fluid move in the opposite directions, dual solutions exist. Numerical results for friction factor, surface heat transfer rate and mass transfer rate have been presented for parametric variations of the Brownian motion parameter Nb, thermophoresis parameter Nt and Lewis number Le. The dependency of the friction factor, surface heat transfer rate (Nusselt number) and mass transfer rate (Sherwood number) on these parameters has been discussed.