document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=525347>Question 525347</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars start at a given point and travel in the same direction at average speeds of 40 miles per hour and 55 miles per hour. how much time will elapse before the two cars are 10 miles apart? How do I set a problem like this up? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348076 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=348076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Car I 40 mph<BR>\n" );
document.write( "Car II 55 mph\r<BR>\n" );
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document.write( "they are moving in same direction<BR>\n" );
document.write( "so effective speed = 15 mph<BR>\n" );
document.write( "distance =10 miles\r<BR>\n" );
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document.write( "Time = distance/speed<BR>\n" );
document.write( "time = 10/15<BR>\n" );
document.write( "time = 2/3 hours\r<BR>\n" );
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document.write( "---------------\r<BR>\n" );
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document.write( "Let t be the time taken by Car A<BR>\n" );
document.write( "d= 40t\r<BR>\n" );
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document.write( "Car B - speed = 55<BR>\n" );
document.write( "(d+10)= 55t<BR>\n" );
document.write( "substitute d in the second equation\r<BR>\n" );
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document.write( "40t+10=55t<BR>\n" );
document.write( "55t-40t=10<BR>\n" );
document.write( "15t=10<BR>\n" );
document.write( "t=10/15<BR>\n" );
document.write( "t=2/3 hours </SPAN>\n" );
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