Question

The top running speed of a cheetah is double the top running speed of a jackal. The top running speed of an elk is 11 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 151

miles. What is the top running speed of each of these three animals?

Answer 1

The speed of Jackal is 35 miles per hour.

The speed of Cheetah is 70 miles per hour.

The speed of Elk is 46 miles per hour.

Explanation:

Consider the provided information.

Let J represents the top speed of jackal.

The top running speed of a cheetah is double the top running speed of a Jackal.

This can be written as:

Cheetah = 2J

The top running speed of an elk is 11 miles per hour faster than that of a Jackal.

Elk = J + 11

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 151.

This can be written as:

`2J+J+J+11=151`

`4J=151-11`

`4J=140`

`J=35`

Hence, the speed of Jackal is 35 miles per hour.

The speed of Cheetah is 2J = 2×35 = 70

Hence, the speed of Cheetah is 70 miles per hour.

The speed of Elk is J + 11 = 35+11 = 46

The speed of Elk is 46 miles per hour.