SOLUTION: When a plane flies with the wind, it can travel 920 miles in 2 hours. When the plane flies in the opposite direction, against the wind, it takes 4 hours to fly the same di
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Question 1177337: When a plane flies with the wind, it can travel 920 miles in 2 hours. When the plane flies in the opposite direction, against the wind, it takes 4 hours to fly the same distance. Find the rate of the plane in still air and the rate of the wind. Answer by mananth(16946) (Show Source):
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let the rate of the plane in still air be x
and the rate of the wind be y
rate with wind =( x+y) mph
distance = 920 miles
time = 2 hours
d/r = t
920/(x+y) =2
2x+2y =920
/2
x+y = 460 --------------(1)
Against wind rate = (x-y)
920/(x-y) = 4
4x-4y = 920
/4
x-y = 230------------------(2)
Add equation (1) & (2)
2x = 690
x= 345
the rate of the plane in still air 345 mph
