document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179311>Question 179311</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Just like my other question, I keep coming with wrong equations, these are my final assignment and I have to get it right...I need help in word problems, my weakest part is comming up with the right equation...<BR>\n" );
document.write( "Kim starts to walk 3 mi to school at<BR>\n" );
document.write( "7:30 A.M. with a temperature of 0°F. Her brother Bryan<BR>\n" );
document.write( "starts at 7:45 A.M. on his bicycle, traveling 10 mph faster<BR>\n" );
document.write( "than Kim. If they get to school at the same time, then how<BR>\n" );
document.write( "fast is each one traveling? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134215 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=134215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Kim starts to walk 3 mi to school at<BR>\n" );
document.write( "7:30 A.M. with a temperature of 0°F. <BR>\n" );
document.write( "Her brother Bryan starts at 7:45 A.M. on his bicycle, <BR>\n" );
document.write( "traveling 10 mph faster than Kim. <BR>\n" );
document.write( "If they get to school at the same time, then how<BR>\n" );
document.write( "fast is each one traveling?<BR>\n" );
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document.write( "Kim DATA:<BR>\n" );
document.write( "distance = 3 miles ; rate = x mph ; time = d/r = 3/x hrs<BR>\n" );
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document.write( "Bryan DATA:<BR>\n" );
document.write( "distance = 3 miles ; rate = x+10 mph ; time = d/r = 3/(x+10) hrs<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "Kim time - Bryan time = (1/4) hr<BR>\n" );
document.write( "3/x - 3/(x+10) = 1/4\r<BR>\n" );
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document.write( "Divide thru by 3 to get:\r<BR>\n" );
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document.write( "1/x - 1/(x+10) = 1/12\r<BR>\n" );
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document.write( "Simplify:<BR>\n" );
document.write( "12(x+10) - 12(x) = x(x+10)\r<BR>\n" );
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document.write( "12*10 = x^2 + 10x\r<BR>\n" );
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document.write( "x^2 + 10x - 120 = 0<BR>\n" );
document.write( "x = [-10 +- sqrt(100 - 4*-120]/2\r<BR>\n" );
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document.write( "x = [-10 +- sqrt(580)]/2\r<BR>\n" );
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document.write( "Positive solution:<BR>\n" );
document.write( "x = [-10 + 24.083]/2\r<BR>\n" );
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document.write( "x = 14.083/2\r<BR>\n" );
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document.write( "x = 7.0415 mph (Kim's rate)<BR>\n" );
document.write( "x+10 = 17.0415 mph (Bryan's rate)<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );