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Anon25 [30]
3 years ago
12

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?
Mathematics
1 answer:
rosijanka [135]3 years ago
5 0

Answer:

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.

Step-by-step 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.

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Answers provided below

Step-by-step explanation:

From the simultaneous linear equation, we have the coefficient matrix as;

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The x-matrix is Dx is given by;

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Similarly, the y-matrix Dy is given by;

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Also,the z-matrix Dz is given by;

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Determinant of the coefficient matrix from online determinant calculator is;

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