document.write( "Question 68691: A plane flies 720 miles against a steady 30 mile per hour head wind and then returns to the same point with wind. If entire trip takes 10 hours, what is plane`s speed in still air? I do not even know where to begin. Please help me. Thank you in advance. \n" ); document.write( "
Algebra.Com's Answer #48878 by checkley71(8403) ![]() You can put this solution on YOUR website! 10=720/(X-30)+720/(X+30) \n" ); document.write( "10=(720[X+30]+720[X-30])/(X-30)(X+30) \n" ); document.write( "10=(720X+21600+720X-21600)/(X^2-900) \n" ); document.write( "10X^2-9000=1440X \n" ); document.write( "10X^2-1440-9000=0 \n" ); document.write( "X^2-144-900=0 \n" ); document.write( "(X-150)(X+6)=0 \n" ); document.write( "X-150=0 \n" ); document.write( "X=150 ANSWER FOR THE PLANE'S SPEED IN STILL AIR. \n" ); document.write( "PROOF \n" ); document.write( "10=720/120+720/180 \n" ); document.write( "10=6+4 \n" ); document.write( "10=10\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |