  The subject of time in quantum mechanics is of perennial interest especially
because there is no observable for the time taken by a particle to transmit (or
reflect) from a particular region. Several methods have been proposed based on
scattering phase shifts and using different quantum clocks, where the time
taken is clocked by some external input or indirectly from the phase of the
scattering amplitudes. In this work we give a general method for calculating
conditional sojourn times based on wave attenuation. In this approach clock
mechanism does not couple to the Hamiltonian of the system. For simplicity,
specific case of a delta dimer is considered in detail. Our analysis re-affirms
recent results based on correcting quantum clocks using optical potential
methods, albeit in a much simpler way.
