Question 962822: A plane takes about 4.5 hours to fly 1800 miles from chicago to sacramento. At the same time another plane flies from chicago to sacramento. This plane travels with the same average airspeed, but the flight to chicago takes 3.75 hours. Find the average airspeed of the planes. Find the average wind speed.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! A plane takes about 4.5 hours to fly 1800 miles from chicago to sacramento. At the same time another plane flies from sacramento to chicago. This plane travels with the same average airspeed, but the flight to chicago takes 3.75 hours. Find the average airspeed of the planes. Find the average wind speed.
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let x=ave air speed of both planes
let c=ave wind speed
(x-c)=speed of plane, Chicago to Sacramento
(x+c)=speed of plane, Sacramento to Chicago
travel time*speed=distance
..
4.5(x-c)=1800
3.75(x+c)=1800
..
4.5x-4.5c=1800
3.75x+3.75c=1800
..
16.875x-16.875c=6750
16.875x+16.875c=8100
add
33.75x=14850
x=440
4.5c=4.5x-1800
4.5c=180
c=40
average airspeed of the planes=180 mph
average wind speed=40 mph
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