document.write( "Question 718000: an airplane covers a distance of 750 miles in 2 hours when it flies with the wind and 3 1/3 hours when it flies against the wind.what is the speed of the plane in still air? \n" ); document.write( "
Algebra.Com's Answer #440725 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! an airplane covers a distance of 750 miles in 2 hours when it flies with the wind and 3 1/3 hours when it flies against the wind.what is the speed of the plane in still air? \n" ); document.write( "*** \n" ); document.write( "let x=speed of the plane in still air \n" ); document.write( "let c=speed of the wind \n" ); document.write( "(x+c)=speed of the plane with the winds \n" ); document.write( "(x-c)=speed of the plane against the wind \n" ); document.write( "speed=distance/travel time \n" ); document.write( ".. \n" ); document.write( "750/2=x+c \n" ); document.write( "750/(10/3)=x-c \n" ); document.write( ".. \n" ); document.write( "750=2x+2c \n" ); document.write( "2250=10x-10c \n" ); document.write( ".. \n" ); document.write( "3750=10x+10c \n" ); document.write( "2250=10x-10c \n" ); document.write( "6000=20x \n" ); document.write( "x=300 \n" ); document.write( "2c=750-2x=150 \n" ); document.write( "c=75 \n" ); document.write( "speed of the plane in still air=300 mph \n" ); document.write( "speed of the wind=75 mph \n" ); document.write( " \n" ); document.write( " |