document.write( "Question 104908: mary and sue are 30 miles apart. if they leave at the same time andride in the same direction, mary overtakes sue in 6 hours. if they ride towards each other they pass each other in 1 hour. what are their speeds? \n" ); document.write( "
Algebra.Com's Answer #76349 by HyperBrain(694) ![]() You can put this solution on YOUR website! I'm not a great tutor here. Ican't show you any drawing. So, draw as I say:\r \n" ); document.write( "\n" ); document.write( "Draw that Mary and Sue are apart. Mark that their 30 miles away form each other.(no need to be scaled).\r \n" ); document.write( "\n" ); document.write( "If you overtake, this means that you reach the same point where the other object/person is.\r \n" ); document.write( "\n" ); document.write( "Let x= speed of Mary \n" ); document.write( "____y= speed of Sue\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Come to think of this fact: it is MARY who overtook. This means that Mary MUSt be FASTER than Sue!\r \n" ); document.write( "\n" ); document.write( "After 6 hrs, they're at the same point. And take note: Sue is already ahead by 30 miles when they started. So,\r \n" ); document.write( "\n" ); document.write( "_______________________ \n" ); document.write( "_______________________ \n" ); document.write( "________________________ \n" ); document.write( "\n" ); document.write( "Now let's INVESTIGATE the second case: Mary and Sue heading toward each other.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They met in i hr. At that instant, the sum of the distance they had traveled is 30 miles. \n" ); document.write( "So,\r \n" ); document.write( "\n" ); document.write( "______________________ \n" ); document.write( "But, \n" ); document.write( "________________________ \n" ); document.write( "\n" ); document.write( "Thus, \n" ); document.write( "_______________________ \n" ); document.write( "__________________________ \n" ); document.write( "____________________________ \n" ); document.write( "_____________________________ \n" ); document.write( "\n" ); document.write( "Again, \n" ); document.write( "________________________ \n" ); document.write( "\n" ); document.write( "Then, \n" ); document.write( "________________________ \n" ); document.write( "________________________ \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, Mary travels at a speed of 17.5 mph while Sue travels at the speed of \n" ); document.write( "12.5 mph!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Power up, \n" ); document.write( "HyperBrain! \n" ); document.write( " \n" ); document.write( " |