Chapter MPS, Problem 4.8MPS

To determine

Find the time Chia spend in an airplane and in a simulator.

Answer to Problem 4.8MPS

  $24hours\&28hours$

Explanation of Solution

Given information:

Flight instruction costs $\$115$ per hour, and the simulator costs $\$65$ per hour. Chia spent $4$ more hours in airplane training than in the simulator. If Chia spent $\$4780$ .

Calculation:

Here she spent total amount is $\$4780$ and she spent $4$ more hours in airplane training than in simulator.

Let $x$ be the number of hours that she spent time for training in simulator.

Therefore, $x+4$ is the number of hours that she spent time for airplane training.

The cost of the training in simulator is $65x$

The cost of the airplane training is $115(x+4)$

She spent total amount is $\$4780$ .

That is,

  $\begin{array}{l}65x+115(x+4)=4780\\ 65x+115x+460=4780\\ 180x=4780-460\\ 180x=4320\\ x=\frac{4320}{180}\\ x=24\\ And\\ x+4=24+4\\ =28\end{array}$

Hence, she spent $24hours$ for training in simulator and $28hours$ for airplane training.