SOLUTION: Matt and Anna are frequent fliers on Fast-N-Go Airlines They often fly between two cities that are a distance of 800 miles apart. On one particular trip they flew into the wind and
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Question 894996: Matt and Anna are frequent fliers on Fast-N-Go Airlines They often fly between two cities that are a distance of 800 miles apart. On one particular trip they flew into the wind and the trip took 2.5 hours The return trip with the wind behind them only took 2 hours. Find the speed of the wind and the speed of the plane in still air Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Matt and Anna are frequent fliers on Fast-N-Go Airlines They often fly between two cities that are a distance of 800 miles apart. On one particular trip they flew into the wind and the trip took 2.5 hours The return trip with the wind behind them only took 2 hours. Find the speed of the wind and the speed of the plane in still air
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let x=speed of plane in still air
let c=speed of wind
(x-c)=speed of plane into wind
(x+c)=speed of plane with wind
distance/speed=travel time
..
800/(x-c)=2.5
800/(x+c)=2.0
..
2.5x-2.5c=800
2.0x+2.0c=800
..
5x-5c=1600 (mult. by 2)
5x+5c=2000 (mult. by 2.5)
add
10x=3600
x=360
2c=800-2x=800-720=80
c=40
speed of plane in still air=360 mph
speed of wind=40 mph
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