document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=666148>Question 666148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars start at the same time from the same place and travel along the same road. Car A has a constant speed of 50mph. Car B travels with constant speed v for 100 miles then stops to rest for time t, then travels again with constant speed v for another 100 miles. Assume v is greater than 50mph. <BR>\n" );
document.write( "A. Write algebraic expressions for the following: <BR>\n" );
document.write( "(1) How far is B ahead of A when B stops to rest?<BR>\n" );
document.write( "(2) Where is A when B starts up again?<BR>\n" );
document.write( "(3) What time is it when A passes a marker 150 miles from the starting point?<BR>\n" );
document.write( "(4) Suppose we were at the 150 mile marker. How long would we have to wait between the passing of A and the passing of B?<BR>\n" );
document.write( "(5) Where is A when B arrives at a point 200 miles from it's starting point?\r<BR>\n" );
document.write( "\n" );
document.write( "B.Suppose A and B arrive at the 200 mile position at the same time. <BR>\n" );
document.write( "(1) write and equation that states this condition. <BR>\n" );
document.write( "(2) How long does B rest if its speed is 60 mph?<BR>\n" );
document.write( "(3) what must B's speed be if it rests for one hour? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #414473 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=414473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two cars start at the same time from the same place and travel along the same road.<BR>\n" );
document.write( " Car A has a constant speed of 50mph.<BR>\n" );
document.write( " Car B travels with constant speed v for 100 miles then stops to rest for time t, then travels again with constant speed v for another 100 miles.<BR>\n" );
document.write( " Assume v is greater than 50mph.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A. Write algebraic expressions for the following:<BR>\n" );
document.write( "(1) How far is B ahead of A when B stops to rest?<BR>\n" );
document.write( "100 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%28100%2Fv%29 ALIGN=MIDDLE  ALT=\"50%28100%2Fv%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( "(2) Where is A when B starts up again?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%28%28100%2Fv%29%2Bt%29 ALIGN=MIDDLE  ALT=\"50%28%28100%2Fv%29%2Bt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( "(3) What time is it when A passes a marker 150 miles from the starting point?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2F50 ALIGN=MIDDLE  ALT=\"150%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 hrs from start<BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(4) Suppose we were at the 150 mile marker. How long would we have to wait<BR>\n" );
document.write( " between the passing of A and the passing of B?<BR>\n" );
document.write( "3 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2Fv ALIGN=MIDDLE  ALT=\"150%2Fv\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( "(5) Where is A when B arrives at a point 200 miles from it's starting point?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%28%28200%2Fv%29%2Bt%29 ALIGN=MIDDLE  ALT=\"50%28%28200%2Fv%29%2Bt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( ";\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B.Suppose A and B arrive at the 200 mile position at the same time.\r<BR>\n" );
document.write( "\n" );
document.write( "(1) write and equation that states this condition.<BR>\n" );
document.write( "It takes A: 200/50 = 4 hrs, to reach the 200 mi marker, therefore:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28200%2Fv%29%2Bt ALIGN=MIDDLE  ALT=\"%28200%2Fv%29%2Bt\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4 <BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( "(2) How long does B rest if its speed is 60 mph?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28200%2F60%29%2Bt ALIGN=MIDDLE  ALT=\"%28200%2F60%29%2Bt\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4 <BR>\n" );
document.write( "3.33 + t = 4<BR>\n" );
document.write( "t = 4 - 3.33<BR>\n" );
document.write( "t = .67 hrs, about 40 min<BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( "(3) what must B's speed be if it rests for one hour?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28200%2Fv%29%2B1 ALIGN=MIDDLE  ALT=\"%28200%2Fv%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28200%2Fv%29 ALIGN=MIDDLE  ALT=\"%28200%2Fv%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4 - 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28200%2Fv%29 ALIGN=MIDDLE  ALT=\"%28200%2Fv%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "3v = 200<BR>\n" );
document.write( "v = 200/3<BR>\n" );
document.write( "v = 66.67 mph   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );