document.write( "Question 1072067: A 780-mile, 7-hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph.
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document.write( "For the remainder of the trip, the average speed was 120 mph. How long did the plane fly at each speed?\r
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document.write( "105 mph
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document.write( "120 mph \n" );
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Algebra.Com's Answer #686964 by ikleyn(52793)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A 780-mile, 7-hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. \n" ); document.write( "For the remainder of the trip, the average speed was 120 mph. How long did the plane fly at each speed?\r \n" ); document.write( "\n" ); document.write( "105 mph \n" ); document.write( " \n" ); document.write( "120 mph \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution 1 (system of two equations)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " x + y = 7, (1) (x is time flying at 105 mph; y is time flying at 120 mph)\r\n" ); document.write( "105x + 120y = 780. (2)\r\n" ); document.write( "\r\n" ); document.write( "Express x = 7-y from (1) and substitute into (2), then solve or y.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solution 2 (one equation)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "105*x _ 120*(7-x) = 780.\r\n" ); document.write( "\r\n" ); document.write( "Solve for x.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |