The equation for the distance travelled by the plane is,
[tex]d=rt[/tex]a)
Solve the equation for time t.
[tex]\begin{gathered} d=rt \\ t=\frac{d}{r} \end{gathered}[/tex]So equation for t is t = d/r.
b)
The rate for the plane flies is r = 500 miles per hour.
The distance travelled by the plane is d = 4500 miles.
Substitute the values in the equation to determine the value of t.
[tex]\begin{gathered} t=\frac{4500\text{ miles}}{500\text{ miles per hour}} \\ =9\text{ hour} \end{gathered}[/tex]So plane takes 9 hours to travel 4500 miles.
Answer: 9 hours