Chapter 2.6, Problem 5STP

For Exercises $1-6,$ choose the correct letter.

A healthy, adult cheetah can run 110 feet per second. How fast can a cheetah run in miles per hour?

A. 55

B. 75

C. 87

D. 161.3

To determine

To find: speed of cheetah in miles per hour

Answer to Problem 5STP

Option B is correct.

Explanation of Solution

Given information: Cheetah speed is 110 feet per second

 

Since, $1\frac{\text{ft}}{\text{sec}}=\frac{\text{3600 miles}}{\text{5280 hour}}$

  $\begin{array}{l}110\frac{\text{ft}}{\text{sec}}=110\times \frac{\text{3600 miles}}{\text{5280 hour}}\\ 110\frac{\text{ft}}{\text{sec}}=10\times \frac{\text{360 miles}}{\text{48 hour}}\\ 110\frac{\text{ft}}{\text{sec}}=10\times \frac{\text{15 miles}}{\text{2 hour}}\\ 110\frac{\text{ft}}{\text{sec}}=5\times \frac{\text{15 miles}}{\text{hour}}\\ 110\frac{\text{ft}}{\text{sec}}=75\frac{\text{miles}}{\text{hour}}\end{array}$