Chapter 8.6B, Problem 2GCE

To determine

To Find: The distance travelled by the two planes with the second plane overtakes.

Answer to Problem 2GCE

Thetime after which second planes overtake the second is $47\text{minutes}$ .

Explanation of Solution

Given:

The position of the first plane at t hours is $x=410.7t$ .

The position of the second airplane is $x=412.9\left(t-0.0042\right)$ .

The time after which second planes overtake the second is $47\text{minutes}$ .

Calculation:

Consider the equation $x=410.7t$ then,

  $\begin{array}{c}x=410.7\left(0.788\right)\\ =323.6376\\ =323.6\text{miles}\end{array}$

Thus, the distance travelled by both the planes is $323.6\text{miles}$