Question 703980
a small plane traveled the 1800 km distance between two islands in 3 hours with the wind. the return trip against the wind took 6 hours . find the rate of the plane in still air and the rate of the wind.
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let x=rate of airplane in still air
let c=rate of wind
x+c=rate of airplane downwind
x-c=rate of airplane upwind
travel time=distance/rate

1800/(x+c)=3
1800/(x-c)=6
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3x+3c=1800
6x-6c=1800
..
6x+6c=3600
6x-6c=1800
12x=5400
x=450
rate of airplane in still air=450 km/hr