document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1071145>Question 1071145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Some time ago, you asked the following problem:\r<BR>\n" );
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document.write( "``Oscar finished the 44 km trip in 6 hours. He traveled part of the distance at 4km/h and part at 9 km/h. How long did he travel at 9 km/h?\r<BR>\n" );
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document.write( "A. 2 hours\r<BR>\n" );
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document.write( "B. 4.9 hours\r<BR>\n" );
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document.write( "C. 5 hours\r<BR>\n" );
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document.write( "D. 4 hours \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #686070 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=686070\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate * time = distance.\r<BR>\n" );
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document.write( "let d1 and d2 = distances involved.<BR>\n" );
document.write( "let t1 and t2 = times involved.\r<BR>\n" );
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document.write( "you will get 2 equations.\r<BR>\n" );
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document.write( "4 * t1 = d1<BR>\n" );
document.write( "9 * t2 = d2\r<BR>\n" );
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document.write( "you know that d1 + d2 = 44 and you know that t1 + t2 = 6<BR>\n" );
document.write( "solve for d2 to get d2 = 44 - d1<BR>\n" );
document.write( "solve for t2 to get t2 = 6 - t1\r<BR>\n" );
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document.write( "your equations will become:\r<BR>\n" );
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document.write( "4 * t1 = d1<BR>\n" );
document.write( "9 * (6 - t1) = 44 - d1\r<BR>\n" );
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document.write( "since d1 = 4 * t1 from the first equation, replace d1 in the second equation with 4 * t1 to get:\r<BR>\n" );
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document.write( "9 * (6 - t1) = 44 - 4 * t1\r<BR>\n" );
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document.write( "simplify to get 54 - 9 * t1 = 44 - 4 * t1\r<BR>\n" );
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document.write( "subtract 44 from both sides of the equation and add 9 * t1 to both sides of the equation to get 54 - 44 = 9 * t1 - 4 * t1\r<BR>\n" );
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document.write( "simplify to get 10 = 5 * t1\r<BR>\n" );
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document.write( "solve for t1 to get t1 = 2.\r<BR>\n" );
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document.write( "since t1 + t2 = 6, then t2 = 4.\r<BR>\n" );
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document.write( "go back to your original equations of:\r<BR>\n" );
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document.write( "4 * t1 = d1<BR>\n" );
document.write( "9 * t2 = d2\r<BR>\n" );
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document.write( "replace t1 with 2 and t2 with 4 to get:\r<BR>\n" );
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document.write( "4 * 2 = d1<BR>\n" );
document.write( "9 * 4 = d2\r<BR>\n" );
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document.write( "solve for d1 to get d1 = 8\r<BR>\n" );
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document.write( "solve for d2 to get d2 = 36\r<BR>\n" );
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document.write( "he traveled 2 hours at 4 kmph for a distance of 8 km.<BR>\n" );
document.write( "he traveled 4 hours at 9 kmph for a distance of 36 km.\r<BR>\n" );
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document.write( "your solution is that he traveled for 4 hours at 9 kmph.\r<BR>\n" );
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