Problema Solution
A pilot can travel 396 miles with the wind in the same amount of time as 324 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 190 miles per hour
Answer provided by our tutors
Let
w = the speed of the wind, w>0
v = 190 mph the pilot's speed in still air
since speed = distance/time we have:
traveling against the wind the speed of the plane is: v - w = 190 - w
traveling with the wind the speed of the plane is: v + w = 190 + w
since speed = distance/time we have time = distance/speed
A pilot can travel 396 miles with the wind in the same amount of time as 324 miles against the wind:
396/(190 + w) = 324/(190 - w)
........
click here to see all the equation solution steps
........
w = 19 mph
The speed of the wind is 19 mph.