document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207311>Question 1207311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "A car and a van were travelling to town A. The car overtook the van at Point x where they were 126km from town A.  The car arrived at town A 3/8 hr earlier than the van while the van was 18km away. Find the average speed of the car and the van. </SPAN>\n" );
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document.write( "In the time it takes the car to travel the 126km to town A, the van travels 126-18 = 108km.  So the ratio of the speeds is 126/108 = 7/6.<br><BR>\n" );
document.write( "The distances are the same, so the ratio of the speeds is the same as the ratio of the times.<br><BR>\n" );
document.write( "x = hours for the car to travel the 126km<BR>\n" );
document.write( "x+3/8 = hours for the van to travel the 126km<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%2F8%29%2Fx=7%2F6 ALIGN=MIDDLE  ALT=\"%28x%2B3%2F8%29%2Fx=7%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x=6%28x%2B3%2F8%29 ALIGN=MIDDLE  ALT=\"7x=6%28x%2B3%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x=6x%2B18%2F8 ALIGN=MIDDLE  ALT=\"7x=6x%2B18%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=18%2F8+=+9%2F4 ALIGN=MIDDLE  ALT=\"x=18%2F8+=+9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The car travels the 126km in 9/4 hours; the speed of the car is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=126%2F%289%2F4%29=126%284%2F9%29=14%2A4=56 ALIGN=MIDDLE  ALT=\"126%2F%289%2F4%29=126%284%2F9%29=14%2A4=56\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The speed of the car is 56km/h.<br><BR>\n" );
document.write( "The speed of the van is 6/7 of the speed of the car.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2F7%29%2A56+=+6%2A8+=+48 ALIGN=MIDDLE  ALT=\"%286%2F7%29%2A56+=+6%2A8+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The speed of the van is 48km/h.<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "car: 56km/h<BR>\n" );
document.write( "van: 48km/h<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );