document.write( "Question 1065563: A train leaves Orlando at 4:00 PM. A second train leaves the same city in the same direction at 8:008 PM. The second train travels 112 mph faster than the first. If the second train overtakes the first at 10:00 PM, what is the speed of each of the two trains? \n" ); document.write( "
Algebra.Com's Answer #680736 by ikleyn(52797)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A train leaves Orlando at 4:00 PM. A second train leaves the same city in the same direction at 8:00 \n" ); document.write( "The second train travels 112 mph faster than the first. If the second train overtakes the first at 10:00 PM, \n" ); document.write( "what is the speed of each of the two trains? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let \"v\" be the speed of the first train, in mph.\r\n" ); document.write( "Then the speed of the second train is (v+112) mph.\r\n" ); document.write( "\r\n" ); document.write( "The equation for \"t\" is\r\n" ); document.write( "\r\n" ); document.write( "6v = 2(v + 112).\r\n" ); document.write( "\r\n" ); document.write( "6 in the left is 6 hours from 4:00 pm to 10:00 pm (till overtaking moment).\r\n" ); document.write( "2 in the right is 2 hours from 8:00 pm to 10:00 pm (till overtaking moment).\r\n" ); document.write( "\r\n" ); document.write( "The solution is\r \n" ); document.write( "\n" ); document.write( "For more solved problems of this type see the lessons\r \n" ); document.write( "\n" ); document.write( " - Travel and Distance problems \r \n" ); document.write( "\n" ); document.write( " - Typical catching up Travel and Distance problems\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the section \"Word problems\", the topic \"Travel and Distance problems\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |