document.write( "Question 940058: A small plane flying into the wind takes 3 hours 20 minutes to complete flight of 960 km, flying with the wind, the same plane takes 2 hours and 30 minutes to make the same trip. Shag is the speed of the plane? What is the speed of the wind?
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Algebra.Com's Answer #572868 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A small plane flying into the wind takes 3 hours 20 minutes to complete flight of 960 km, flying with the wind, the same plane takes 2 hours and 30 minutes to make the same trip. Shag is the speed of the plane? What is the speed of the wind? \n" ); document.write( "*** \n" ); document.write( "let x=speed of plane with no wind \n" ); document.write( "let c=speed of wind \n" ); document.write( "x+c=speed of plane with wind \n" ); document.write( "x-c=speed of plane against wind \n" ); document.write( "travel time*speed=distance \n" ); document.write( ".. \n" ); document.write( "3 hrs 20 min=3 1/3 hr=10/3 hr \n" ); document.write( "2 hrs 30 min=2 1/2 hr=5/2 hr \n" ); document.write( ".. \n" ); document.write( "10/3*(x-c)=960 \n" ); document.write( "5/2*(x+c)=960 \n" ); document.write( ".. \n" ); document.write( "10x-10c=2880 \n" ); document.write( "5x+5c=1920 \n" ); document.write( ".. \n" ); document.write( "10x-10c=2880 \n" ); document.write( "10x+10c=3840 \n" ); document.write( "add: \n" ); document.write( "20x=6720 \n" ); document.write( "x=336 \n" ); document.write( "subtract: \n" ); document.write( "-20c=-960 \n" ); document.write( "c=48 \n" ); document.write( "speed of plane with no wind=336 km/hr \n" ); document.write( "speed of wind=48 km/hr \n" ); document.write( " |