document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162900>Question 162900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a person traveling 210 km by car drove the first part at 100 km/h and the rest at 80 km/h. If the trip took 2.25 h to complete, what distance was traveled at 100 km/h. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120107 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=120107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a person traveling 210 km by car drove the first part at 100 km/h and the rest at 80 km/h. If the trip took 2.25 h to complete, what distance was traveled at 100 km/h.<BR>\n" );
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document.write( "Let d = distance traveled at 100 km/h<BR>\n" );
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document.write( "The total distance is given as 210 km, therefore:<BR>\n" );
document.write( "(210-x) = distance traveled at 80 km/h<BR>\n" );
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document.write( "Write a time equation: time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=distance%2Fspeed ALIGN=MIDDLE  ALT=\"distance%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "100km/hr time + 80km/hr time = 2.25 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F100 ALIGN=MIDDLE  ALT=\"d%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28210-d%29%29%2F80 ALIGN=MIDDLE  ALT=\"%28%28210-d%29%29%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.25<BR>\n" );
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document.write( "Multiply equation by 400 <BR>\n" );
document.write( "400*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F100 ALIGN=MIDDLE  ALT=\"d%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 400*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28210-d%29%29%2F80 ALIGN=MIDDLE  ALT=\"%28%28210-d%29%29%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 400(2.25)<BR>\n" );
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document.write( "Cancel the denominator out and you have:<BR>\n" );
document.write( "4d + 5(210-d) = 900<BR>\n" );
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document.write( "4d + 1050 - 5d = 900<BR>\n" );
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document.write( "4d - 5d = 900 - 1050<BR>\n" );
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document.write( "-d = -150<BR>\n" );
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document.write( "d = 150 km at 100 km/hr<BR>\n" );
document.write( "then<BR>\n" );
document.write( "210 - 150 = 60 km at 80 km/hr<BR>\n" );
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document.write( "Check solution by finding the times<BR>\n" );
document.write( "150/100 = 1.5 hr<BR>\n" );
document.write( "60/80  = .75 hrs<BR>\n" );
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document.write( "total hr 2.25 </SPAN>\n" );
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