document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=239035>Question 239035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help with this word problem please?\r<BR>\n" );
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document.write( "Rachel allows herself 1 hour to reach a sales appointment 50 miles away.  After she has driven 30 miles, she realizes that she must increase her speed by 15mph in order to get there on time.  What was her speed for the first 30 miles? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175577 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=175577\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rachel allows herself 1 hour to reach a sales appointment 50 miles away. After she has driven 30 miles, she realizes that she must increase her speed by 15mph in order to get there on time. What was her speed for the first 30 miles?<BR>\n" );
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document.write( "1st leg DATA:<BR>\n" );
document.write( "distance = 30 miles ; rate = x mph ; time = d/r = 30/x hrs<BR>\n" );
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document.write( "2nd leg DATA:<BR>\n" );
document.write( "distance = 20 miles ; rate = x+15 mph ; time = d/r = 20/(x+15) hrs.<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "time + time = 1 hr<BR>\n" );
document.write( "30/x + 20/(x+15) = 1<BR>\n" );
document.write( "30(x+15) + 20x = x(x+15)<BR>\n" );
document.write( "x^2 +15x = 50x + 450 = 0<BR>\n" );
document.write( "x^2 - 35x - 450 = 0<BR>\n" );
document.write( "x = 45 mph (her rate for the first 30 miles)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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