document.write( "Question 801743: A helicopter flies 172 miles against the wind in 2 hours. With the wind it can fly 258 miles in the same amount of time. Find the speed of the helicopter in still air. \n" ); document.write( "
Algebra.Com's Answer #483625 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A helicopter flies 172 miles against the wind in 2 hours. With the wind it can fly 258 miles in the same amount of time. Find the speed of the helicopter in still air. \n" ); document.write( "*** \n" ); document.write( "let x=speed of helicopter in still air \n" ); document.write( "let c=speed of wind \n" ); document.write( "x+c=speed of helicopter with the wind \n" ); document.write( "x-c=speed of helicopter against the wind \n" ); document.write( "distance = speed *travel time \n" ); document.write( ".. \n" ); document.write( "in 1 hr, helicopter travels 172/2=86 miles against the wind \n" ); document.write( "in 1 hr, helicopter travels 258/2=129 miles with the wind \n" ); document.write( ".. \n" ); document.write( "86=(x-c)(1) \n" ); document.write( "129=(x+c)(1) \n" ); document.write( "add \n" ); document.write( "2x=215 \n" ); document.write( "x=107.5 mph \n" ); document.write( "speed of helicopter in still air=107.5 mph\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |