document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=626936>Question 626936</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem :)) thanks, <BR>\n" );
document.write( "a car runs 10 km an hiur faster than a jeepney.  Find the rate of each if the car can travel 200 km one hour less than that if the jeepney. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #394536 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=394536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a car runs 10 km an hour faster than a jeepney. Find the rate of each if the car can travel 200 km one hour less than that of the jeepney.<BR>\n" );
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document.write( "Car DATA:<BR>\n" );
document.write( "rate = x kmh ; distance = 200 km ; time = d/r = 200/x hrs.<BR>\n" );
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document.write( "Jeep DATA:<BR>\n" );
document.write( "rate = x-10 kmh ; distance = 200 km ; time = d/r = 200/(x-10) hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "jeep time - car time = 1 hour<BR>\n" );
document.write( "200/(x-10) - 200/x = 1<BR>\n" );
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document.write( "Multiply thru by x(x-10) to get:<BR>\n" );
document.write( "200x - 200(x-10) = x(x-10)<BR>\n" );
document.write( "2000 = x^2-10x<BR>\n" );
document.write( "x^2-10x-2000 = 0<BR>\n" );
document.write( "(x-50)(x+40) = 0<BR>\n" );
document.write( "x = 50 kmh (rate of the car<BR>\n" );
document.write( "x-10 = 40 kmh (rate of the jeep)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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