document.write( "Question 269101: Erica Suco can fly her plane 200 mi against the wind and in the same time it takes her to fly 300 mi with the wind. The wind blows at 30 mph. Find the speed of her plane in still air? \n" ); document.write( "
Algebra.Com's Answer #197242 by checkley77(12844) ![]() You can put this solution on YOUR website! D=RT OR T=D/R \n" ); document.write( "T=200/(R-30) \n" ); document.write( "T=300/(R+30) \n" ); document.write( "THE 2 TIMES ARE EQUAL THUS THE EQUATIONS ARE EQUAL \n" ); document.write( "200/(R-30)=300/(R+30) CROSS MULTIPLY \n" ); document.write( "300(R-30)=200(R+30) \n" ); document.write( "300R-9000=200R+6000 \n" ); document.write( "300R-200R=6000+9000 \n" ); document.write( "100R=15000 \n" ); document.write( "R=15000/100 \n" ); document.write( "R=150 MPH IS THE SPEED OF THE PLANE IN STILL AIR. \n" ); document.write( "PROOF: \n" ); document.write( "200/(150-30)=300/(15+30) \n" ); document.write( "200/120=300/180 \n" ); document.write( "5/3=5/3 \n" ); document.write( " \n" ); document.write( " |