Reassign Case : Move the Tasks automatically

Dear Experts,

Assuming an agent 'X' had created a couple of activities (Task and Phone call) as a follow up of a case.

When the agent X re-assigns the Case to another agent 'Y', Can the task as well get assigned to agent Y and move to his Queue.

Please advice on how to achieve this, as I could see only 'Processor' of Task and not sure if 'Assigned To' is applicable for activities.

Cheers,

Vino