An airplane takes 3 hours to travel a distance of 1320 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.

Answer 1

So, let's say I can row 5 mph. If I am in a river flowing at 2 mph, I'll go 5 + 2 = 7 mph going downstream but 5 - 2 = 3 mph going upstream.

3(a + w) = 1320

4(a - w) = 1320

a + w = 440

a - w = 330

2a = 770

a = 385 mph

385 + w = 440

w = 55 mph