SOLUTION: A pilot can travel 560 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 230 miles per h
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Question 585408: A pilot can travel 560 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 230 miles per hour. Answer by Schaman_Dempster(26) (Show Source):
You can put this solution on YOUR website! Let the speed of the wind be w miles per hour.
Let t be the time taken by pilot to travel 560 miles with the wind and also to travel 360 miles against the wind.
Case: When traveling with the wind,
total speed of pilot = speed of pilot in still air + speed of wind
Vt = 230 + w
Distance traveled = total speed * time taken
560 = (230 + w)* t ------------ (1)
Case: When traveling against the wind,
total speed of pilot = speed of pilot in still air - speed of wind
Vt = 230 - w
Distance traveled = total speed * time taken
360 = (230 - w)* t ------------- (2)
Using equation (1) and (2),
{ Dividing both the sides by 40 } { Cross-multiplication}
3220 - 14w = 2070 + 9w
3220 - 2070 = 14w + 9w
1150 = 23w
w = 1150/23
w = 50
Hence, the speed of the wind is 50 miles per hour.
Hope this helps~!
