document.write( "Question 1159954: Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 97 km/h faster than the other. If the two planes are 12,344 kilometers apart after 8 hours, what is the rate of each plane? \n" ); document.write( "
Algebra.Com's Answer #783099 by ikleyn(52799)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let \"r\" be the rate of the slower plane, in miles per hour.\r\n" ); document.write( "\r\n" ); document.write( "Then the rate of the faster plane is (r+97) mph.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The total distance equation is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 12344 = 8r + 8*(r+97)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and solve\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " r + (r+97) = 12344/8 = 1543\r\n" ); document.write( "\r\n" ); document.write( " 2r = 1543-97 = 1446\r\n" ); document.write( "\r\n" ); document.write( " r = 1446/2 = 723.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The rates of the planes are 723 mph and 723+97 = 820 mph.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See introductory lessons on Travel and Distance problems\r \n" ); document.write( "\n" ); document.write( " - Travel and Distance problems \r \n" ); document.write( "\n" ); document.write( " - Travel and Distance problems for two bodies moving in opposite directions \r \n" ); document.write( "\n" ); document.write( " - Travel and Distance problems for two bodies moving in the same direction (catching up)\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They are written specially for you.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You will find the solutions of many similar problems there.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Become an expert in this area.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |