(4) An owl travels \( 8 \frac{1}{3} \) miles in \( \frac{3}{4} \) hour and a seagull travels \( 12 \frac{1}{2} \) miles in \( \frac{2}{3} \) hour. Which animal is faster? (4)) It takes the seagull less time to travel a longer distance. 4) Find the owl's speed in miles per hour. (4) The owl has a speed of 24 mile(s)

To determine which animal is faster, we need to calculate the speed of each animal. The speed of an animal is calculated by dividing the distance traveled by the time taken. For the owl: Distance traveled = \(8 \frac{1}{3}\) miles Time taken = \(\frac{3}{4}\) hour For the seagull: Distance traveled = \(12 \frac{1}{2}\) miles Time taken = \(\frac{2}{3}\) hour Let's calculate the speed of the owl first: \[ \text{Speed of owl} = \frac{8 \frac{1}{3}}{\frac{3}{4}} \] Now, let's calculate the speed of the seagull: \[ \text{Speed of seagull} = \frac{12 \frac{1}{2}}{\frac{2}{3}} \] After calculating the speeds, we can compare them to determine which animal is faster. Calculate the value by following steps: - step0: Calculate: \(\frac{8\frac{1}{3}}{\frac{3}{4}}\) - step1: Convert the expressions: \(\frac{\frac{25}{3}}{\frac{3}{4}}\) - step2: Multiply by the reciprocal: \(\frac{25}{3}\times \frac{4}{3}\) - step3: Multiply the fractions: \(\frac{25\times 4}{3\times 3}\) - step4: Multiply: \(\frac{100}{9}\) The speed of the owl is \(11 \frac{1}{9}\) miles per hour. Now, let's calculate the speed of the seagull: \[ \text{Speed of seagull} = \frac{12 \frac{1}{2}}{\frac{2}{3}} \] \[ \text{Speed of seagull} = \frac{12 \frac{1}{2}}{\frac{2}{3}} = \frac{25}{2} \] The speed of the seagull is \(12 \frac{1}{2}\) miles per hour. Since the seagull travels a longer distance in less time, the seagull is faster than the owl.