SOLUTION: a passenger jet took 6h to fly 3600km in the direction of the jet stream. the return trip against the jet stream took 8h. determine the speed in still air and the speed of the jet

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Question 948088: a passenger jet took 6h to fly 3600km in the direction of the jet stream. the return trip against the jet stream took 8h. determine the speed in still air and the speed of the jet stream.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
a passenger jet took 6h to fly 3600km in the direction of the jet stream. the return trip against the jet stream took 8h. determine the speed in still air and the speed of the jet stream.
***
let x=speed of jet plane in still air
let c=speed of jet stream
x+c=speed of jet plane in the direction of the jet stream.
x-c=speed of jet plane against the jet stream
travel time*speed=distance
..
6(x+c)=3600
8(x-c)=3600
..
6x+6c=3600
8x-8c=3600
..
24x+24c=14400 (mult. eq. by 4)
24x-24c=10800 (mult. eq. by 3)
add
48x=25200
x=525
..
subtract:
48c=3600
c=75
speed of jet plane in still air=525 km/hr
speed of jet stream=75 km/hr