document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=588608>Question 588608</A>: <I><SPAN STYLE=\"word-break: break-all;\">      A motorist, X, travelling at a uniform speed of 48 km/h passes a village at 6 a.m.. Another motorist, Y , travellingat a uniform speed of 66 km/h passes the same village at 6.30 a.m. Draw straight line graphs to show the journeys of X and Y between 6.30 a.m. and 9 a.m. , taking 4 cm to represent  1 hour on the time axis and 2 cm to represent 20 km on the the distance axis. Deduce from your graph the time at which both motrists are at the same distance from the village. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374601 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=374601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A motorist, X, traveling at a uniform speed of 48 km/h passes a village at 6 a.m..<BR>\n" );
document.write( " Another motorist, Y , traveling at a uniform speed of 66 km/h passes the same village at 6.30 a.m.<BR>\n" );
document.write( " Draw straight line graphs to show the journeys of X and Y between 6.30 a.m. and 9 a.m. , taking 4 cm to represent 1 hour on the time axis and 2 cm to represent 20 km on the the distance axis.<BR>\n" );
document.write( " Deduce from your graph the time at which both motorists are at the same distance from the village.<BR>\n" );
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document.write( "Write a linear equation for each motorist<BR>\n" );
document.write( "dist from village, on the vertical axis<BR>\n" );
document.write( "time (from 6:30) on the horizontal<BR>\n" );
document.write( "origin, 0 represent 6:30 am, and at the village<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Motorist x (travels 1/2 hr longer than y):<BR>\n" );
document.write( "d = 48(t+.5); red graph<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Motorist y:<BR>\n" );
document.write( "d = 66t; green graph<BR>\n" );
document.write( ":<BR>\n" );
document.write( "On graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-1%2C+3%2C+-50%2C+120%2C+48%28x%2B.5%29%2C+66x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-1%2C+3%2C+-50%2C+120%2C+48%28x%2B.5%29%2C+66x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "In 1<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, at about 85 miles they intersect, same distance from village<BR>\n" );
document.write( "6:30 + 1:20 = 7:50 AM would be the time <BR>\n" );
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document.write( " </SPAN>\n" );
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