Speed of the airplane for the wind is 583 mph and speed of the airplane against the wind is 517 mph
Given that the speed in still air is 550mph, then we can say that
speed for the wind = 550 + w
speed against the wind = 550 - w
Considering that it travels 3498 miles for the wind and 3102 against the wind, we can then say that
3498/(550+w) = 3102/(550-w)
if we cross multiply, we have
3498 × (550-w) = 3102 × (550+w)
1923900 - 3498w = 1706100 + 3102w
collecting like terms
1923900 - 1706100 = 3102w + 3498w
217800 = 660w
w = 217800/660
w = 33
If w = 33, then the speed for and against the wind is 550+33 = 583 mph and 550 - 33 = 517 mph respectively.
read more here; https://brainly.com/question/11221202
