Solve the problem.
-A plane flies 460 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is $30 \mathrm{mph}$, what is the speed of the plane in still air?
A) $225 \mathrm{mph}$
B) $205 \mathrm{mph}$
C) $200 \mathrm{mph}$
D) $190 \mathrm{mph}$

Question

Quizplus · Accepted Answer

Let the speed of the plane in still air be $x \mathrm{mph}$. With the wind, the speed is $x + 30$, and against the wind, it is $x - 30$. The time for both trips is the same, so $\frac{460}{x+30} = \frac{340}{x-30}$. Solving this equation gives $x = 200 \mathrm{mph}$.

Solve the Problem 30mph30 \mathrm{mph}30mph , What Is the Speed of the Plane in Still

Solve the Problem $30 \mathrm{mph}$ , What Is the Speed of the Plane in Still