  Classical and quantum scattering of a non-Gaussian wave packet by a
rectangular barrier is studied in terms of arrival times to a given detector
location. A classical wave equation, proposed by N. Rosen [{\it{Am. J. Phys.}}
{\bf 32} (1964) 377], is used to study the corresponding classical dynamics.
Mean arrival times are then computed and compared for different values of
initial wave packet parameters and barrier width. The agreement is improved in
the large mass limit as one expects. A short comment on the possibility of
generalization of Rosen's proposal to a two-body system is given. Differences
in distributions of particles obeying different statistics are studied by
considering a system composed of two free particles.
