A small plane flew miles

Question

A small plane flew 916 miles in 4 hours with the wind. Then on the return trip, flying against the wind, it traveled only 548 miles in 4 hours. What were the wind velocity and the speed of the plane? (Note: The "speed of the plane" means how fast the plane would be flying with no wind.)

Answer 1

w + p = 916/4 = 229

p -w = 548/4 = 137

add the 2 equations to get

2p = 366

p = 366/2 = 183 mph = plane speed with no wind

w = 229-183= 46 mph = wind speed