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)\"\" \"About 
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( "_______________________\"6x=6y%2B30\"
\n" ); document.write( "_______________________\"6x%2F6=%286y%2B30%29%2F%286%29\"
\n" ); document.write( "________________________\"x=y%2B5\"\r
\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( "______________________\"x%2By=30\"
\n" ); document.write( "But,
\n" ); document.write( "________________________\"x=y%2B5\"\r
\n" ); document.write( "\n" ); document.write( "Thus,
\n" ); document.write( "_______________________\"%28y%2B5%29%2By=30\"
\n" ); document.write( "__________________________\"2y%2B5=30\"
\n" ); document.write( "____________________________\"2y=25\"
\n" ); document.write( "_____________________________\"y=12.5\"\r
\n" ); document.write( "\n" ); document.write( "Again,
\n" ); document.write( "________________________\"x=y%2B5\"\r
\n" ); document.write( "\n" ); document.write( "Then,
\n" ); document.write( "________________________\"x=12.5%2B5\"
\n" ); document.write( "________________________\"x=17.5\"\r
\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
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\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "HyperBrain!
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