To find the time Stephen arrives at the gym, we need to determine the time that is one hour later than 4:15 p.m. We can solve this problem by adding one hour to the given time.
Let's start by converting the given time, 4:15 p.m., into the 24-hour format. In the 24-hour format, 4:15 p.m. is represented as 16:15.
To add one hour, we simply increment the hour by 1. However, we need to ensure that the minutes remain the same.
Adding one hour to 16:15, we get:
16:15 + 1 hour = 17:15
Therefore, Stephen arrives at the gym at 17:15, or in the 12-hour format, 5:15 p.m.

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