A jet travels from Miami to London round trip. it takes 8 hours to get there and 7 hours to return home. the jets average air speed is 500 mph. What is the average speed of the wind

From the basic equation: distance = rate * time

From Miami to London (against the wind) : distance = (500 - wind speed) * 8

From London to Miami (with the wind) : distance = (500 + wind speed) * 7

Equating both gives:

(500 - wind speed) * 8 = (500 + wind speed) * 7

wind speed = 33.33 mph

The average speed of the wind is 33.33 mph.