The molecular dynamics of aqueous solutions of a model amphiphilic peptide is studied as a function of concentration by broad-band light scattering experiments. Similarly to protein aqueous solutions, a considerable retardation, of about a factor 6-8, of hydration water dynamics with respect to bulk water is found, showing a slight dependence on solute concentration. Conversely, the average number of water molecules perturbed by the presence of peptide, i.e. the hydration number, appears to be strongly modified by adding solute. Its behaviour, decreasing upon increasing concentration, can be interpreted considering the random close-to-contact condition experienced by solute particles. Overall, the present findings support the view of a "long range" effect of peptides on the surrounding water, extending beyond the first two hydration shells.