document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=511382>Question 511382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two groups of tourists traveled by automobiles. one group averaged 45 kilometers per hour and the other 35 kilometers per hour. the faster group traveled 30 kilometers farther than the slower group and made the trip in two hours less time. how long did each party travel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #342186 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=342186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> two groups of tourists traveled by automobiles. one group averaged 45 kilometers per hour and the other 35 kilometers per hour. the faster group traveled 30 kilometers farther than the slower group and made the trip in two hours less time. how long did each party travel?<BR>\n" );
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document.write( "let x=distance traveled by slower group<BR>\n" );
document.write( "x+30=distance traveled by faster group<BR>\n" );
document.write( "time of travel=distance/speed<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(x/35)-(x+30)/45=2<BR>\n" );
document.write( "LCD: 35*45<BR>\n" );
document.write( "(45x)-35(x+30)=2*35*45<BR>\n" );
document.write( "45x-35x-1050=3150<BR>\n" );
document.write( "10x=4200<BR>\n" );
document.write( "x=420 km<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "slower group traveled for 420/35=12 hrs<BR>\n" );
document.write( "slower group traveled for 420+30/45=10 hrs </SPAN>\n" );
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