document.write( "Question 891896: A plane filies 480 milies in an easternly direction, with the wind, in 4 hours, returning westernly along the same route, against the wind. The plane takes 6 hours. What is the rate of the plane in still air and what is the rate of the wind? \n" ); document.write( "
Algebra.Com's Answer #540143 by josgarithmetic(39631) ![]() You can put this solution on YOUR website! r for speed in still air \n" ); document.write( "w for speed of the wind\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "_________________________speed_________time________distance \n" ); document.write( "EASTERN__________________r+w___________4__________480 \n" ); document.write( "WESTERN__________________r-w___________6__________480\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The basic uniform rates travel relationship can be easily used RT=D rate time distance, \n" ); document.write( "to form two linear equations:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "_________________________speed_________time___________distance \n" ); document.write( "EASTERN__________________r+w___________4_______________(r+w)*4=480 \n" ); document.write( "WESTERN__________________r-w___________6_______________(r-w)*6=480\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The eastern equation is simplifiable to \n" ); document.write( "and the western equation into \n" ); document.write( "Solve for r and w.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |