document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=732123>Question 732123</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John and Mary leave their house at the same time and drive in opposite directions. John drives at 90 mi/h and travels 35 mi farther than Mary, who drives at 40 mi/h. Mary's trip takes 15 min longer than John's. For what length of time does each of them drive? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #447564 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=447564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> john and Mary leave their house at the same time and drive in opposite directions. John drives at 90 mi/h and travels 35 mi farther than Mary, who drives at 40 mi/h. Mary's trip takes 15 min longer than John's. For what length of time does each of them drive?\r<BR>\n" );
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document.write( "let mary travel x miles<BR>\n" );
document.write( "john travels x+35 miles\r<BR>\n" );
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document.write( "John speed = 90 mph<BR>\n" );
document.write( "Mary 40 mph\r<BR>\n" );
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document.write( "Time Mary = x/40 <BR>\n" );
document.write( "Time john = (x+35)/90\r<BR>\n" );
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document.write( "Time Mary -1/4 = Time John\r<BR>\n" );
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document.write( "x/40 - 1/4 = (x+35)/90\r<BR>\n" );
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document.write( "x/40-(x+35)/90 = 1/4\r<BR>\n" );
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document.write( "90x-40(x+35)= 900\r<BR>\n" );
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document.write( "90x-40x-1400=900\r<BR>\n" );
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document.write( "90x-40x-1400=900\r<BR>\n" );
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document.write( "50x=2300\r<BR>\n" );
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document.write( "x=46 miles\r<BR>\n" );
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document.write( "John time = (46+35)/90 = 0.9 hours<BR>\n" );
document.write( "Mary time = 46/40=1.15 hours\r<BR>\n" );
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document.write( " </SPAN>\n" );
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