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)![]() ![]() ![]() You can put this solution on YOUR website! 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( "*** \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( " |