Q42. - Algebra 1

Question

CATS A domestic cat can run at speeds of 27.5 miles per hour when chasing prey. A cheetah can run 42.5 miles per hour faster when chasing prey. How fast can the cheetah go?

Step-by-Step Solution

Answer

The speed of a Cheetah while chasing prey is 70 miles per hour.

Step 1. Write the given information.

A cat can run at the speed of 27.5 miles per hour when chasing prey.

A cheetah runs 42.5 miles faster than a cat when chasing prey.

Step 2. Assumption.

Let x  be the Cheetah’s speed while chasing prey.

To get x, we will add the speed of the cat while chasing prey and the speed of the Cheetah more than the cat while chasing prey.

Step 3. Calculation.

$$\begin{gathered} x=27.5+42.5 \\ x=70 \end{gathered}$$

Therefore, the speed of the Cheetah while chasing prey is 70 miles per hour.