document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122044>Question 1122044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "sam on his way from his house to kukup town after covering 3/8 of his journey, passed a lorry which was traveling at an average speed of 80km per hour. When sam reached his destination 4 hours later, the lorry was still 60 km from kukup town. If the lorry had started from bay town which was 48km from sams house, how long did the lorry take to travel to kukup town.\r<BR>\n" );
document.write( "\n" );
document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738113 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=738113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sam on his way from his house to kukup town after covering 3/8 of his journey, passed a lorry which was traveling at an average speed of 80km per hour.<BR>\n" );
document.write( " When sam reached his destination 4 hours later, the lorry was still 60 km from kukup town.<BR>\n" );
document.write( " If the lorry had started from bay town which was 48km from sams house, how long did the lorry take to travel to kukup town.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let d = dist from Sam's house to K town<BR>\n" );
document.write( "let s = Sam's speed<BR>\n" );
document.write( "* Sam passes Lorry (=)\r<BR>\n" );
document.write( "\n" );
document.write( ":<BR>\n" );
document.write( "..........48.........BayT========*==========......60km....KT<BR>\n" );
document.write( "Sam------------<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8 ALIGN=MIDDLE  ALT=\"3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >d---------*------4hr-(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F8 ALIGN=MIDDLE  ALT=\"5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >d)--------KT<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Sam traveled <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F8 ALIGN=MIDDLE  ALT=\"5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >d in 4hrs<BR>\n" );
document.write( "Therefore <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285%2F8%29d%29%2Fs ALIGN=MIDDLE  ALT=\"%28%285%2F8%29d%29%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F8 ALIGN=MIDDLE  ALT=\"5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >d = 4s<BR>\n" );
document.write( "5d = 4s * 8<BR>\n" );
document.write( "5d = 32s<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5d%2F32 ALIGN=MIDDLE  ALT=\"5d%2F32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = .15625d\r<BR>\n" );
document.write( "\n" );
document.write( "Lorry travels d-108 km while Sam travels d km<BR>\n" );
document.write( "distance varies directly with speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2F80 ALIGN=MIDDLE  ALT=\"s%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F%28d-108%29 ALIGN=MIDDLE  ALT=\"d%2F%28d-108%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "s(d-108) = 80d<BR>\n" );
document.write( "Replace s with .15625d<BR>\n" );
document.write( ".15625d(d-108) = 80d<BR>\n" );
document.write( "divide both sides by d<BR>\n" );
document.write( ".15625(d-108) = 80<BR>\n" );
document.write( ".15625d - 16.875 = 80<BR>\n" );
document.write( ".15625d = 80 + 16.875<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96.875%2F.15625 ALIGN=MIDDLE  ALT=\"96.875%2F.15625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 620 km from Sam's house to K-town<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"long did the lorry take to travel to kukup town.\"<BR>\n" );
document.write( "620 - 48 = 572 km traveled by the lorry<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=572%2F80 ALIGN=MIDDLE  ALT=\"572%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 7.15 hrs time for Lorry to travel from Bay-t to Kukup-t </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );