document.write( "Question 725849: An airplane is flying into a headwind travels the 1800 mi flying distance between New York and Albuquerque, NM in 3 hours 36 min. On the return flight, the same distance is traveled in 3 hours. Find the airspeed of the plane and the speed of the wind assuming that both remain constant. \n" ); document.write( "
Algebra.Com's Answer #444364 by lwsshak3(11628)\"\" \"About 
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An airplane is flying into a headwind travels the 1800 mi flying distance between New York and Albuquerque, NM in 3 hours 36 min. On the return flight, the same distance is traveled in 3 hours. Find the airspeed of the plane and the speed of the wind assuming that both remain constant.
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\n" ); document.write( "let x=airspeed of the plane or speed of plane in still air
\n" ); document.write( "let c=speed of the wind
\n" ); document.write( "(x+c)=speed of plane in downwind
\n" ); document.write( "(x-c)=speed of plane in headwind
\n" ); document.write( "Travel time=distance/speed
\n" ); document.write( "3 hrs and 36 min=3.6 hrs
\n" ); document.write( "..
\n" ); document.write( "1800/(x-c)=3.6
\n" ); document.write( "1800/(x+c)=3
\n" ); document.write( "..
\n" ); document.write( "1800=3.6x-3.6c
\n" ); document.write( "1800=3x+3c
\n" ); document.write( "..
\n" ); document.write( "5400=10.8x-10.8c
\n" ); document.write( "6480=10.8x+10.8c
\n" ); document.write( "add
\n" ); document.write( "11880=21.6x
\n" ); document.write( "x=550
\n" ); document.write( "3c=1800-3x=150
\n" ); document.write( "c=50
\n" ); document.write( "airspeed of plane=550 mph
\n" ); document.write( "speed of the wind=50 mph
\n" ); document.write( "
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