document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=838771>Question 838771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Car A travels 120 miles in the same time that car B travels 150 miles. If car B travels 10 mph faster than car A, how fast is each car travelling? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #505320 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=505320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r<BR>\n" );
document.write( "Let r=car A's rate<BR>\n" );
document.write( "Then r+10=car B's rate\r<BR>\n" );
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document.write( "Time travelled by car A=120/r<BR>\n" );
document.write( "Time travelled by car B=150/(r+10)<BR>\n" );
document.write( "Now we are told that these times are the same, soooo:<BR>\n" );
document.write( "120/r=150/(r+10) multiply each side by r(r+10)<BR>\n" );
document.write( "120(r+10)=150r simplify<BR>\n" );
document.write( "120r+1200=150rsubtract 120r from each side<BR>\n" );
document.write( "120r-120r+1200=150r-120r<BR>\n" );
document.write( "30r=1200<BR>\n" );
document.write( "r=40mph---Car A speed<BR>\n" );
document.write( "r+10=40+10=50 mph -----Car B's speed (or rate)<BR>\n" );
document.write( "CK<BR>\n" );
document.write( "120/40=150/50<BR>\n" );
document.write( "3=3\r<BR>\n" );
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document.write( "Hope this helps--ptaylor </SPAN>\n" );
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