The top running speed of a cheetah is double the top running speed of a jackal. the top running speed of an elk is 9 miles per hour faster than that of a jackal. if each of these three animals could run at top speed for an hour (which, of course, is not possible), they could run a combined distance of 133 miles. what is the top running speed of each of these three animals?

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:

Since they they could run a combined distance of 133 miles in an hour, we can write the following expression:

Substituting and into the expression and solving for "j", we get:

Finally, we must substitute the value of "j" into   and . Then:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2