Chapter 6.5, Problem 52SR

To determine

To find: the time it willtake an air fighter jet to fly 5200 miles at 650 miles per hour.

Answer to Problem 52SR

The required time taken by fighter jet to fly 5200 miles will be 8 hours.

Explanation of Solution

Given information:

The fighter jet covers 650 miles in 1 hour.

The distance covered by jet is proportional to time.

Calculation:

Consider a fighter jet flying at speed of 650 miles per hour.

Assume that it takes $x$ hours to cover 5200 miles.

Express a proportion involving time and the distance covered.

  $\frac{x}{5200}=\frac{1}{650}=\frac{\text{Time}\text{in}\text{hours}}{\text{Distance}\text{covered}\text{in}\text{miles}}$

Solve the proportional equation as follows:

  $\begin{array}{c}\frac{x}{5200}=\frac{1}{650}\\ x\times 650=5200\text{Cross}\text{products}\\ x=\frac{5200}{650}\text{Divide}\text{by}650\\ x=8\end{array}$

Hence, the required time taken by fighter jet to fly 5200 miles will be 8 hours.