document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=438775>Question 438775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me to solve the problem<BR>\n" );
document.write( "places A and B are 100km apart on a highway. one car starts from A and another starts from B . if the cars travel in the same directions with different speed , they meet in 5 hours . if they travel towards each other, they meet in 1 hour. what are the speeds of the two cars </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303326 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=303326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> places A and B are 100km apart on a highway. one car starts from A and another starts from B . if the cars travel in the same directions with different speed , they meet in 5 hours . if they travel towards each other, they meet in 1 hour. what are the speeds of the two cars<BR>\n" );
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document.write( "Catch-up DATA:<BR>\n" );
document.write( "A's DATA:<BR>\n" );
document.write( "rate = a km/hr ; time = 5 hrs; distance = 5a km<BR>\n" );
document.write( "B's DATA:<BR>\n" );
document.write( "rate = b km/hr ; time = 5 hrs; distance = 5b km<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Note If A catches up to B, A's distance is 100 km + 5b<BR>\n" );
document.write( "So, 5a = 5b+100<BR>\n" );
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document.write( "Meeting DATA:<BR>\n" );
document.write( "A's DATA:<BR>\n" );
document.write( "rate = a km/hr ; time = 1 hr; distance = a km<BR>\n" );
document.write( "B's DATA:<BR>\n" );
document.write( "rate = b km/hr ; time = 1 hr; distance = b km<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "a+b = 100 km<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "So you have two equations:<BR>\n" );
document.write( "5a = 5b+100<BR>\n" );
document.write( "a+b = 100<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Modifying those you get:<BR>\n" );
document.write( "a-b = 20<BR>\n" );
document.write( "a+b = 100<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Add and solve for \"a:<BR>\n" );
document.write( "2a = 120<BR>\n" );
document.write( "a = 60 km/hr (A's rate)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for \"b\":<BR>\n" );
document.write( "a + b = 100<BR>\n" );
document.write( "60 +b = 100<BR>\n" );
document.write( "b = 40 mph (B's rate)<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );