The given information is:
- Tim needs to be at work at 8:00 A.M.
- He needs 30 minutes to get ready in the morning
- It takes him 15 minutes to drive to the work
The total time Tim needs to get ready and drive to work is:
[tex]30min+15min=45min[/tex]So, he needs at least 45 minutes to be on time at work. So, the latest time Tim can get up in the morning is 45 minutes earlier than 8:00 A.M., and it is equal to:
[tex]\begin{gathered} 8:00\text{ is equal to 7 hours and 60 min, so:} \\ 60min-45min=15min \\ \\ The\text{ latest time is: }7:15A.M. \end{gathered}[/tex]The answer is 7:15 A.M.