Anmaa ıet for the fair at \( 9: 30 \) a.m. He came home at 7:15 p.m. How long was he away? (A) \( 9 \frac{1}{4} \mathrm{hr} \) (B) \( 9 \frac{3}{4} \mathrm{hr} \) (C) \( 10 \frac{1}{4} \mathrm{hr} \) (D) \( 10 \frac{3}{4} \mathrm{hr} \)

To find out how long Anmaa was away, we need to calculate the time from \( 9:30 \) a.m. to \( 7:15 \) p.m. 1. **Convert the times to a 24-hour format:** - \( 9:30 \) a.m. is \( 09:30 \). - \( 7:15 \) p.m. is \( 19:15 \). 2. **Calculate the difference:** - From \( 09:30 \) to \( 19:15 \): - First, calculate the hours from \( 09:30 \) to \( 19:00 \): \[ 19:00 - 09:30 = 9 \text{ hours and } 30 \text{ minutes} \] - Now, add the remaining \( 15 \) minutes from \( 19:00 \) to \( 19:15 \): \[ 9 \text{ hours and } 30 \text{ minutes} + 15 \text{ minutes} = 9 \text{ hours and } 45 \text{ minutes} \] 3. **Convert \( 9 \) hours and \( 45 \) minutes to a mixed number:** - \( 45 \) minutes is \( \frac{3}{4} \) of an hour. - Therefore, \( 9 \) hours and \( 45 \) minutes can be expressed as: \[ 9 \frac{3}{4} \text{ hours} \] Thus, the total time Anmaa was away is \( 9 \frac{3}{4} \) hours. The correct answer is \( \boxed{(B) \, 9 \frac{3}{4} \mathrm{hr}} \).