document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=406951>Question 406951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bus A is 150 miles due east of Bus B. Both busses start driving due west at constant speeds at the same time. It takes Bus A 10 hours to overtake Bus B. IF they had started out at the same time, had driven at the same constant speeds, but had driven toward one another, they would have met in 2 hours. What is the speed, in miles per hour, of Bus A? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287022 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=287022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bus A is 150 miles due east of Bus B.<BR>\n" );
document.write( " Both busses start driving due west at constant speeds at the same time.<BR>\n" );
document.write( " It takes Bus A 10 hours to overtake Bus B.<BR>\n" );
document.write( " IF they had started out at the same time, had driven at the same constant<BR>\n" );
document.write( " speeds, but had driven toward one another, they would have met in 2 hours.<BR>\n" );
document.write( " What is the speed, in miles per hour, of Bus A?<BR>\n" );
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document.write( "Let a = Bus A's speed<BR>\n" );
document.write( "Let b = Bus B's speed<BR>\n" );
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document.write( "Write a distance equation for each scenario<BR>\n" );
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document.write( "same direction<BR>\n" );
document.write( "10a - 10b = 150<BR>\n" );
document.write( "Simplify, divide by 10<BR>\n" );
document.write( "a - b = 15<BR>\n" );
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document.write( "Toward each other:<BR>\n" );
document.write( "2a + 2b = 150<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "a + b = 75<BR>\n" );
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document.write( "Use elimination with these two simplified equation<BR>\n" );
document.write( "a - b = 15<BR>\n" );
document.write( "a + b = 75<BR>\n" );
document.write( "------------ adding eliminates b, find a:<BR>\n" );
document.write( "2a = 90<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2F2 ALIGN=MIDDLE  ALT=\"90%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 45 mph is Bus A's speed<BR>\n" );
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document.write( "You can check this yourself, find b, then substitute in both equations </SPAN>\n" );
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