Appearance of the second coherent peak in the dynamical structure factor of an asymmetric spin-ladder is suggested. The general arguments are confirmed by the first-order (with respect to the asymmetry) calculation for a spin-ladder with singlet-rung ground state. Based on this result, an interpretation is proposed for the inelastic neutron scattering data in the spin gap compound CuHpCl, for which some of the corresponding interaction constants are estimated.