An airplane travels 460 miles from San Diego to San Francisco in 2.5 hours, going against the wind. The return trip is with the wind, and takes only 2 hours. Find the rate of the airplane with no wind. Find the rate of the wind.
+36916 460 miles in 2.5 hours with a headwind rate = x - w w = wind speed x = speed in still air
460 miles in 2 hours with a tailwind rate = x+w
rate * time = distance
DIstance to and from is the same....equal
2.5 (x-w) = 460 expanded 2.5x - 2.5w = 460
2(x+w) = 460 2x + 2w = 460 two equations two unkonowns multiply bottom equation by -1.25
-2.5x -2.5w = -575 add top and bottom
- 5 w = -115
w = 23 mph
2.5 (x-w)=460
2.5(x-23) = 460
x = 207 mph
