SOLUTION: a plane flies the first half of a 5600 km flight into the wind in 3.5 hours. the return trip, with the same wind, takes 2.5 hours. find the speed of the wind and the speed of the p

Question 552043: a plane flies the first half of a 5600 km flight into the wind in 3.5 hours. the return trip, with the same wind, takes 2.5 hours. find the speed of the wind and the speed of the plane in still air
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Plane speed= x mph
wind speed= y mph
with wind speed= (x+y)
against wind speed (x-y)
d= 2800 =
2800 / (x+y) 2.5
divide by 2.5 = 1
1120 / (x+y)
(x+y) = 1120 ............1
d= = 2800 against wind
2800 /(x-y)= 3.5
divide by 3.5
800 /(x-y) = 1
x - y = 800 .............2
add up (1) & (2)
2 x =1920
/ 2
x= 960 mph speed of Plane in still air
plug value of x in (1)
we get y= 160 mph speed of wind

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