SOLUTION: A small plane can fly 240 km in 3 hours with the wind, but only 210 km in the same time against the wind. Find the rate of speed of the wind.

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Question 515490: A small plane can fly 240 km in 3 hours with the wind, but only 210 km in the same time against the wind. Find the rate of speed of the wind.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A small plane can fly 240 km in 3 hours with the wind, but only 210 km in the same time against the wind. Find the rate of speed of the wind.
**
let x=speed of plane in still air
let c=speed of wind
(x+c)=speed of plane downwind
(x-c)=speed of plane upwind
..
240/(x+c)=3
210/(x-c)=3
..
3x+3c=240
3x-3c=210
6c=30
c=5
..
6x=450
x=75
ans:
Rate of speed of the wind=5 mph