document.write( "Question 965150: An airplane takes 3.6 hours to fly 1800 miles against the wind. It only takes the plane 3 hours to return 1800 miles with the wind. Assuming that the plane flies at a constant speed, how long will it take it to fly 3300 miles when there is no wind? \n" ); document.write( "
Algebra.Com's Answer #589883 by amarjeeth123(569)![]() ![]() ![]() You can put this solution on YOUR website! Let the speed of the airplane be x mph \n" ); document.write( "Let the speed of the wind be y mph \n" ); document.write( "Speed=Distance/Time \n" ); document.write( "When it is flying against the wind, \n" ); document.write( "x-y=1800/3.6=500.........equation 1 \n" ); document.write( "When it flies with the wind, \n" ); document.write( "x+y=1800/3=600..........equation 2 \n" ); document.write( "Adding equations 1 and 2 we get, \n" ); document.write( "x+y+x-y=500+600 \n" ); document.write( "2x=1100 \n" ); document.write( "x=550 mph \n" ); document.write( "y=50 mph \n" ); document.write( "The speed of the plane is 550 mph. \n" ); document.write( "Time taken to fly 3300 miles without the wind=Distance/Speed=3300/550=6 hours \n" ); document.write( "Answer=6 hours \n" ); document.write( " |