Solve the problem.
-A plane flies 410 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is $28 \mathrm{mph}$, what is the speed of the plane in still air?
A) $325 \mathrm{mph}$
B) $305 \mathrm{mph}$
C) $290 \mathrm{mph}$
D) $300 \mathrm{mph}$

Question

Quizplus · Accepted Answer

Let the speed of the plane in still air be $x \mathrm{mph}$. With the wind, the speed is $x + 28$, and against the wind, it is $x - 28$. The time for both trips is the same, so $\frac{410}{x+28} = \frac{340}{x-28}$. Solving this equation gives $x = 300 \mathrm{mph}$.

Solve the Problem 28mph28 \mathrm{mph}28mph , What Is the Speed of the Plane in Still

Solve the Problem $28 \mathrm{mph}$ , What Is the Speed of the Plane in Still