document.write( "Question 515020: A plane travels from Orlando to Denver and back again. On the five-hour trip from Orlando to Denver, the plane has a tailwind of 40 miles per hour. On the return trip from Denver to Orlando, the plane faces a headwind of 40 miles per hour. This trip takes six hours. What is the speed of the airplane in still air?
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Algebra.Com's Answer #343709 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A plane travels from Orlando to Denver and back again. \n" ); document.write( "On the five-hour trip from Orlando to Denver, the plane has a tailwind of 40 miles per hour. \n" ); document.write( " On the return trip from Denver to Orlando, the plane faces a headwind of 40 miles per hour. This trip takes six hours. \n" ); document.write( " What is the speed of the airplane in still air? \n" ); document.write( ": \n" ); document.write( "Let s = speed of plane in still air \n" ); document.write( ": \n" ); document.write( "Write a distance equation, dist = speed * time \n" ); document.write( ": \n" ); document.write( "Dist to Olan = Dist to Den \n" ); document.write( "6(s-40) = 5(s+40) \n" ); document.write( "6s - 240 = 5s + 200 \n" ); document.write( "6s - 5s = 200 + 240 \n" ); document.write( "s = 440 mph is the plane speed in still air \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Confirm this by finding the distance each way, should be equal if we did it right \n" ); document.write( "6(440-40) = 2400 mi \n" ); document.write( "5(440+40) = 2400 mi \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |