SOLUTION: if it takes an airplane 3 hrs to fly 360 mi with the wind and 4 h to make the return trip against the wind find the speed of the wind and the air speed of the airplane.

Question 368822: if it takes an airplane 3 hrs to fly 360 mi with the wind and 4 h to make the return trip against the wind find the speed of the wind and the air speed of the airplane.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let speed of plane in still air be x
speed of wind be y
..
speed with wind = x+y
speed against wind = x-y
...
distance with wind =360 miles
time = 3 hours
d/r = t
360/(x+y)=3
360 = 3x+3y
/3
120=x+y......................1
...
...
Distance against wind = 360 miles
time = 4
speed = x-y
...
360/(x-y)=4
/4
90/(x-y)=1
x-y = 90.................2
add 1 & 2
2x=210
/2
x= 105 mph speed of plane
speed of wind = 120-105=15 mph.
...
m.ananth@hotmail.ca
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