an owl travels 8\\frac{1}{3} miles in \\frac{...
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? it takes the seagull less time to travel a longer distance. find the owls speed in miles per hour. the owl has a speed of mile(s) per hour.
Answer
# Explanation:
## Step1: Convert mixed - number to improper fraction
The distance the owl travels $d_{owl}=8\frac{1}{3}=\frac{8\times3 + 1}{3}=\frac{25}{3}$ miles, and the time $t_{owl}=\frac{3}{4}$ hour.
## Step2: Use speed formula $v=\frac{d}{t}$
The speed of the owl $v_{owl}=\frac{d_{owl}}{t_{owl}}=\frac{\frac{25}{3}}{\frac{3}{4}}$.
## Step3: Divide by a fraction (multiply by its reciprocal)
$v_{owl}=\frac{25}{3}\times\frac{4}{3}=\frac{100}{9}=11\frac{1}{9}$ miles per hour.
# Answer:
$11\frac{1}{9}$