Answer: The speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.
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 =
![(Distance)/(Time)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ntqtha6oy7oh01tvg0wefqcutgsbymul68.png)
So, speed of red horse =
![(1)/(120)\text{ mile per second}](https://img.qammunity.org/2021/formulas/mathematics/high-school/1udotbjpl7zrx7vgeg5a8eenbe66r5ueid.png)
Since 1 mile = 5280 feet
Speed of red horse =
![(5280)/(120) =44\text{ feet per second}](https://img.qammunity.org/2021/formulas/mathematics/high-school/uftkcqy53eps0jbg6n8eo600756etgwxze.png)
Similarly,
Speed of black horse =
![(5280)/(150) =35.2\text{ feet per second}](https://img.qammunity.org/2021/formulas/mathematics/high-school/a19rot1tmssufoxwvej4w77oh1akkp95k2.png)
Hence, the speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.