Solve the problem.
-A plane flies 500 miles with the wind and 300 miles against the wind in the same length of time. If the speed of the wind is $23 \mathrm{mph}$, what is the speed of the plane in still air?
A) $92 \mathrm{mph}$
B) $97 \mathrm{mph}$
C) $82 \mathrm{mph}$
D) $117 \mathrm{mph}$

Question

Quizplus · Accepted Answer

Let $x$ be the speed of the plane in still air. Then, the speed of the plane with the wind is $x + 23$ mph and the speed of the plane against the wind is $x - 23$ mph. Since the plane flies the same distance in the same amount of time in both directions, we have:$$500/(x + 23) = 300/(x - 23)$$Solving for $x$, we get:$$x = 92 \mathrm{mph}$$

Solve the Problem 23mph23 \mathrm{mph}23mph , What Is the Speed of the Plane in Still

Solve the Problem $23 \mathrm{mph}$ , What Is the Speed of the Plane in Still