document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271451>Question 271451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the day a truck driver encounters light ,moderate, & heavy traffic. If he travels 1/3 hour in light, 1/2 hour in moderate, and 1/5 hour in heavy he can cover 21 miles. Ifh e travels 1/5 in light, 1/4 in moderate, and 1 hr in heavy he can cover 16 mi. The sum of his speeds in moderate & heavy is 5 mi less than his speed in light. Find his speed in each type of traffic.\r<BR>\n" );
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document.write( "Use 3 variable system to solve. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198745 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=198745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During the day a truck driver encounters light ,moderate, & heavy traffic.<BR>\n" );
document.write( " If he travels 1/3 hour in light, 1/2 hour in moderate, and 1/5 hour in heavy he can cover 21 miles.<BR>\n" );
document.write( " If he travels 1/5 in light, 1/4 in moderate, and 1 hr in heavy he can cover 16 mi.<BR>\n" );
document.write( " The sum of his speeds in moderate & heavy is 5 mi less than his speed in light.<BR>\n" );
document.write( "Find his speed in each type of traffic. :<BR>\n" );
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document.write( "Three different speed, fast, medium, slow: a, b, c<BR>\n" );
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document.write( "A first distance equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >a + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >b + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >c = 21<BR>\n" );
document.write( "Multiply by 30 to get rid of the fractions, results:<BR>\n" );
document.write( "10a + 15b + 6c = 30(21)<BR>\n" );
document.write( "10a + 15b + 6c = 630<BR>\n" );
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document.write( "2nd distance equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >a + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >b + c = 16<BR>\n" );
document.write( "Multiply by 20 to get rid of the fractions, results:<BR>\n" );
document.write( "4a + 5b + 20c = 20(16)<BR>\n" );
document.write( "4a + 5b + 20c = 320<BR>\n" );
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document.write( "\"The sum of his speeds in moderate & heavy is 5 mi less than his speed in light.\"<BR>\n" );
document.write( "b + c = a - 5<BR>\n" );
document.write( "-a + b + c = -5<BR>\n" );
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document.write( "Using the matrix feature in a Ti83,<BR>\n" );
document.write( "10, 15, 6, 630<BR>\n" );
document.write( "4, 5, 20, 320<BR>\n" );
document.write( "-1,1, 1, -5<BR>\n" );
document.write( "I got<BR>\n" );
document.write( "a = 30 mph<BR>\n" );
document.write( "b = 20<BR>\n" );
document.write( "c = 5 </SPAN>\n" );
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