Final answer:
The LCM of 7 and 13 is 91 minutes, so Ambrose and Kaitlin will take a break at the same time after 91 minutes.
Step-by-step explanation:
To determine when both Ambrose and Kaitlin will take a break at the same time, we need to find the least common multiple (LCM) of the times they work before taking a break.
Ambrose works for 7 minutes, and Kaitlin works for 13 minutes.
The LCM of 7 and 13 is 91 minutes. Therefore, both Ambrose and Kaitlin will take a break at the same time after 91 minutes.