document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=818496>Question 818496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Peter cycles to visit his grandma and then returns home by the same route. He always cycles at 4 km/h when going uphill, 12 km/h when going downhill and 6km/h when on level ground. If his total cycling time is 2hours and 20 minutes, what is the total distance he cycles in km? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492730 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=492730\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Peter cycles to visit his grandma and then returns home by the same route.<BR>\n" );
document.write( " He always cycles at 4 km/h when going uphill, 12 km/h when going downhill and 6km/h when on level ground.<BR>\n" );
document.write( "If his total cycling time is 2hours and 20 minutes, what is the total distance he cycles in km?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = dist up-hill or downhill<BR>\n" );
document.write( "Let d = the one-way distance<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(d-x) = dist on level ground<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: time = dist/speed<BR>\n" );
document.write( "to grandma + return home = 2<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;\" > hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F4 ALIGN=MIDDLE  ALT=\"x%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28d-x%29%29%2F6 ALIGN=MIDDLE  ALT=\"%28%28d-x%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28d-x%29%29%2F6 ALIGN=MIDDLE  ALT=\"%28%28d-x%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F12 ALIGN=MIDDLE  ALT=\"x%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by 12, cancel the denominators<BR>\n" );
document.write( "3x + 2(d-x) + 2(d-x) + x = 4(7)<BR>\n" );
document.write( "3x + 2d - 2x + 2d - 2x + x = 28<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "3x - 2x - 2x + x + 2d + 2d = 28<BR>\n" );
document.write( "4d = 28<BR>\n" );
document.write( "d = 7 km one-way<BR>\n" );
document.write( "2(7) = 14 km is the total distance<BR>\n" );
document.write( ":<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );