Final answer:
The two trains will leave Bay Shore at the same time 60 minutes after they initially departed, which is at 9:00 am.
Step-by-step explanation:
Train A takes 30 minutes to make a complete trip, while Train B takes 20 minutes to make a complete trip. To find the time at which both trains leave Bay Shore at the same time, we need to find the least common multiple (LCM) of their individual trip times.
The LCM of 30 and 20 is 60 minutes. This means that after 60 minutes, both trains will have completed a whole number of trips and will meet again at Bay Shore at the same time.
Therefore, the two trains will leave Bay Shore at the same time 60 minutes after they initially departed, which is at 9:00 am.