Answer: The speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.
Step-by-step explanation:
Given: A red horse and a black horse raced on a 1-mile-long circular racetrack.
Time taken by red horse = 120 seconds
Time taken by black horse = 150 seconds
Speed = [tex]\dfrac{Distance}{Time}[/tex]
So, speed of red horse =[tex]\dfrac{1}{120}\text{ mile per second}[/tex]
Since 1 mile = 5280 feet
Speed of red horse = [tex]\dfrac{5280}{120} =44\text{ feet per second}[/tex]
Similarly,
Speed of black horse = [tex]\dfrac{5280}{150} =35.2\text{ feet per second}[/tex]
Hence, the speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.