Question

Question 2 (1 point)
A plane flies 910 miles with the wind in the same amount of time it takes for it to fly 660 miles against the wind. If the plane's speed is 350
mph, what is the wind speed. Choose the correct equation that can be used to solve.

Answer 1

Answer:

55.734 mph

Step-by-step explanation:

Let's call the wind speed x and the time of flight t.

Then, we can write the following equation, knowing that the distance is equal speed times time of flight:

910 = (350+x) * t

660 = (350-x) * t

If we isolate t in both equations and compare its value, we have that:

910 / (350+x) = 660 / (350-x)

(350+x)/(350-x) = 910/660

350 + x = 1.3788 * (350-x)

350 + x = 482.58 - 1.3788x

2.3788x = 132.58

x = 55.734 mph