document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=944311>Question 944311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A motorist made a 200 km trip averaging 50 km/h on a level road and 25 km/h on a mountain road. The time spent on the mountain road was 1 hour less than the time spent on the level road. How many km of the trip were on the mountain road? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575809 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=575809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A motorist made a 200 km trip averaging 50 km/h on a level road and 25 km/h on a mountain road.<BR>\n" );
document.write( " The time spent on the mountain road was 1 hour less than the time spent on the level road.<BR>\n" );
document.write( " How many km of the trip were on the mountain road?<BR>\n" );
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document.write( "Let m = distance on mountain roads<BR>\n" );
document.write( "then since the total distance is 200km,<BR>\n" );
document.write( "(200-m) = distance on level roads.<BR>\n" );
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document.write( "Write a time equation, time = dist/speed<BR>\n" );
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document.write( "level road time - mountain road time = 1 hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28200-m%29%29%2F50 ALIGN=MIDDLE  ALT=\"%28%28200-m%29%29%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2F25 ALIGN=MIDDLE  ALT=\"m%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply equation by 50 and cancel the denominators, leaving us with:<BR>\n" );
document.write( "200-m - 2m = 50<BR>\n" );
document.write( "-3m = 50 - 200<BR>\n" );
document.write( "-3m = -150<BR>\n" );
document.write( "m = -150/-3<BR>\n" );
document.write( "m = +50 km on mountain roads<BR>\n" );
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document.write( "Confirm this by finding the time of each, level road: 200-50 = 150 km<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2F50 ALIGN=MIDDLE  ALT=\"150%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F25 ALIGN=MIDDLE  ALT=\"50%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "3 - 2 = 1 hr<BR>\n" );
document.write( " </SPAN>\n" );
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