document.write( "Question 142586: An airplane flies 900 miles against the wind and 1200 miles with the wind in a total time of 15 hours. The speed of the airplane in still air is 150 mph. What is the speed of the wind? \n" ); document.write( "
Algebra.Com's Answer #103786 by vleith(2983)![]() ![]() ![]() You can put this solution on YOUR website! Distance = velocity * time.\r \n" ); document.write( "\n" ); document.write( "total time = 15 hours. \n" ); document.write( "Distance against wind, 900 miles \n" ); document.write( "Distance with wind, 1200 miles \n" ); document.write( "Ground speed, 150 mph. \r \n" ); document.write( "\n" ); document.write( "Let the wind speed be w. \n" ); document.write( "Let the time flow against the wind be t. that means the time flown with the wind is \n" ); document.write( "\n" ); document.write( "Construct two equations, as follows. \n" ); document.write( "Against wind \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "With wind: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use the value for t from above. \n" ); document.write( "Substitute that t in the last equation and solve for w. There will be two answers, pck the one that 'makes sense'. \n" ); document.write( " \n" ); document.write( " |