Hi @Taitha B , welcome to the Atlassian Community and thanks for your post.
Here you are talking about how to manage escalation. https://support.atlassian.com/jira-service-management-cloud/docs/best-practices-for-managing-escalations/
As the page suggests, you can manage this in different ways, or by re-assigning the the ticket or having a status in the workflow for escalation.
In terms of calculating the different times that each level worked, you would need to configure how the escalation works first.
How we normally work here is to offer troubleshooting for configurations you are trying to do yourself. Please have a go at configuring something and then ask for specific help.
Best wishes
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