We show that any subgroup of a (virtually) nilpotent-by-polycyclic group satisfies
the bounded packing property of Hruska-Wise. In particular, the same is true about
metabelian groups and linear solvable groups. However, we find an example of a finitely
generated solvable group of derived length 3 which admits a finitely generated subgroup
without the bounded packing property. In this example the subgroup is a metabelian retract
also. Thus we obtain a negative answer to Problem 2.27 of Hruska-Wise. On the other hand,
we show that polycyclic subgroups of solvable groups satisfy the bounded packing property.