Question

4. The time, in hours, for the plane to travel a distance of d miles is given by d = rt.a) Solve for t in terms of d and r.b) A plane flies at 500 miles per hour. How long will it take for the plane to travel 4500 miles?

Answer 1

The equation for the distance travelled by the plane is,

`d=rt`

a)

Solve the equation for time t.

`\begin{gathered} d=rt \\ t=(d)/(r) \end{gathered}`

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.

`\begin{gathered} t=\frac{4500\text{ miles}}{500\text{ miles per hour}} \\ =9\text{ hour} \end{gathered}`

So plane takes 9 hours to travel 4500 miles.

Answer: 9 hours