SOLUTION: pls gelp me solve this problem... tnx. prob. 1 an airplane flying with the wind took 2 hours for a 1000 mile flight, and 5/2 hours for the return flight. find the wind velocit

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: pls gelp me solve this problem... tnx. prob. 1 an airplane flying with the wind took 2 hours for a 1000 mile flight, and 5/2 hours for the return flight. find the wind velocit      Log On

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Question 352073: pls gelp me solve this problem... tnx.
prob. 1 an airplane flying with the wind took 2 hours for a 1000 mile flight, and 5/2 hours for the return flight. find the wind velocity and the speed of the airplane in still air.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

let plane speed in still air be x mph
wind speed be y mph
Time = distance / speed
with wind
2 hours 1000 miles
1000/x+y = 2
2x+2y=1000
x+y = 500.................1
Against wind 5/2 hours 1000 miles
1000/(x-y) = 5/2
5(x-y) = 2000
5x-5y=2000
/5
x-y = 400.................2
...
Add 1 & 2
2x= 500+400
2x=900
x= 450 mph speed of plane in still air
...
x+y = 500
so y= 50mph speed of wind
...
m.ananth@hotmail.ca