document.write( "Question 192838: An executive drove from home at an average speed of 30 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 60 mph. The entire distance was 150 miles.The entire trip took three hours. Find the distance from the airport to the corporate offices. \n" ); document.write( "
Algebra.Com's Answer #144839 by bhayzone(8)![]() ![]() ![]() You can put this solution on YOUR website! Formulate equations.\r \n" ); document.write( "\n" ); document.write( "Dist = rate * time.\r \n" ); document.write( "\n" ); document.write( "D1 = dist from home to airport \n" ); document.write( "D2 = dist from airport to off\r \n" ); document.write( "\n" ); document.write( "D1 + D2 = 150 \n" ); document.write( "30*t1 + 60*t2 = 150 \n" ); document.write( "t1 + 2t2 = 5 ----- eq 1\r \n" ); document.write( "\n" ); document.write( "Entire trip took 3 hours \n" ); document.write( "t1 + t2 = 3 -------------------- eq 2\r \n" ); document.write( "\n" ); document.write( "Solve eq 1 and 2 and you get \n" ); document.write( "t1 = 1 hour \n" ); document.write( "t2 = 2 hour\r \n" ); document.write( "\n" ); document.write( "D2 = t2*speed2 = 2 * 60 = 120 miles.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |