Answer :
Gill began her swim at 9:50 AM if she swims for 1 1/4 hours and ends her swim at 11 05. To find out when Gill began her swim, we need to subtract 1 1/4 hours from the time she ended her swim, which is 11:05.
1. Convert 1 1/4 hours to minutes:
[tex]\[ \text{1 1/4 hours} = 1 \times 60 + \frac{1}{4} \times 60 = 60 + 15 = 75 \text{ minutes} \][/tex]
2. Subtract 75 minutes from the given time, 11:05:
New Time = 11:05 - 75 minutes
Now, let's break down the subtraction:
11:05 - 75 minutes = 11:05 - 1 hour - 15 minutes
11:05 - 1:00 - 15 minutes = 10:05 - 15 minutes
Since 15 minutes subtracted from 10:05 goes to the previous hour, we have:
10:05 - 15 minutes = 9:50
Therefore, Gill began her swim at 9:50 AM.
In this solution, we converted the given time duration to minutes, subtracted it from the end time.
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