Chapter 4.6, Problem 59SR

To determine

To Find: The time spent in the airplane and the simulator.

Answer to Problem 59SR

The time spent in the flight is $27\text{Hours}$ and in the simulator is 23 hours.

Explanation of Solution

Given:

The cost of the flight instruction is $105.

The cost of the simulator is $45.

The time spent in the airplane is 4 more than the simulator.

The total amount spent is $3870.

Calculation:

Consider the hours spent on the flight is $x$ and $y$ is the hours spent in the simulator then,

  $105x+45y=3870$

From the given information of time,

  $x=4+y$

Then,

  $\begin{array}{l}105\left(4+y\right)+45y=3870\\ 105y+420+45y=3870\\ y=23\end{array}$

Then, solve for $x$ as,

  $\begin{array}{c}x=4+23\\ =27\end{array}$

Thus, the time spent in the flight is $27\text{Hours}$ and in the simulator is 23 hours.