document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066116>Question 1066116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that a cyclist began a <BR>\n" );
document.write( "442 <BR>\n" );
document.write( "mi ride across a state at the western edge of the&#8203; state, at the same time that a car traveling toward it leaves the eastern end of the state. If the bicycle and car met after <BR>\n" );
document.write( "6.5<BR>\n" );
document.write( "hr and the car traveled <BR>\n" );
document.write( "31.4 <BR>\n" );
document.write( "mph faster than the&#8203; bicycle, find the average rate of each. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681306 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=681306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Suppose that a cyclist began a 442 mi ride across a state,<BR>\n" );
document.write( " at the western edge of the&#8203; state, at the same time that a car traveling toward it leaves the eastern end of the state.<BR>\n" );
document.write( " If the bicycle and car met after 6.5 hr and the car traveled 31.4 mph faster than the&#8203; bicycle, <BR>\n" );
document.write( " find the average rate of each.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "When the two meet, they will have traveled a total of 442 mi<BR>\n" );
document.write( "let s = speed of the bike<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+31.4) = speed of the car<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write distance equation; dist = time * speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Bike dist + Car dist = 442 mi<BR>\n" );
document.write( "6.5s + 6.5(s+31.4) = 442<BR>\n" );
document.write( "6.5s + 6.5s + 204.1 = 442<BR>\n" );
document.write( "13s = 442 - 204.1<BR>\n" );
document.write( "13s = 237.9<BR>\n" );
document.write( "s = 237.9/13<BR>\n" );
document.write( "s = 18.3 mph is the speed of the bike<BR>\n" );
document.write( "and<BR>\n" );
document.write( "18.3 + 31.4 = 49.7 mph is the speed of the car<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this by finding the actual dist each traveled:<BR>\n" );
document.write( "18.3*6.5 = 118.95 mi<BR>\n" );
document.write( "49.7*6.5 = 323.05<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "total mi:  442.0 mi<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );