Answer:
Cheetah: 62 miles per hour.
Elk: 40 miles per hour.
Jackal: 31 miles per hour.
Step-by-step explanation:
Let be "c" the top running speed of the cheetah, "j" the the top running speed of the jackal and "e" the top running speed of the elk.
Based on the exercise, we know that:
[tex]c=2j\\\\e=j+9[/tex]
Since they they could run a combined distance of 133 miles in an hour, we can write the following expression:
[tex]c+j+e=133[/tex]
Substituting [tex]c=2j[/tex] and [tex]e=j+9[/tex] into the expression and solving for "j", we get:
[tex]2j+j+j+9=133\\\\4j=133-9\\\\j=\frac{124}{4}\\\\j=31[/tex]
Finally, we must substitute the value of "j" into [tex]c=2j[/tex] and [tex]e=j+9[/tex]. Then:
[tex]c=2(31)=62[/tex]
[tex]e=31+9=40[/tex]
