Christie pilots her plane for 320 mi against the headwind in 2 hrs . The flight would take 1 hr and 36 minutes with a tailwind of the same speed. Find the headwind and the speed of the plane in still air.

Answer 1

1 hr 36 min = 1.6 hr

p - w = 320 mi / 2 hr = 160 mph

p + w = 320 mi / 1.6 hr = 200 mph

adding equations (to eliminate w) ... 2 p = 36 mph

solve for p , then substitute back to find w

Answer 2

if the wind speed is w and the plane's speed is s, then since distance = speed*time,
2(s-w) = 320
1.6(s+w) = 320
now just solve for s and w

Answer 3

dropped a zero

2 p = 360