document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083024>Question 1083024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The distance between  joe's house nd the supermarket is X km .He drive from his house to the supermarket at an average speed of Y km/h .from the supermarket Joe return to his house, along the same route, at an average speed that is one and a half times faster than the original average speed of Y km/h. Calculate  the overall average speed at which Joe drove from his house to the supermarket nd back.leave ur answer  in terms of Y. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697040 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=697040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The distance between joe's house nd the supermarket is X km .<BR>\n" );
document.write( "He drive from his house to the supermarket at an average speed of Y km/h .<BR>\n" );
document.write( "from the supermarket Joe return to his house, along the same route, at an average speed that is one and a half times faster than the original average speed of Y km/h.<BR>\n" );
document.write( " Calculate the overall average speed at which Joe drove from his house to the supermarket nd back.leave ur answer in terms of Y.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let a = average speed for the round trip<BR>\n" );
document.write( "write a time equation; time = dist/speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy ALIGN=MIDDLE  ALT=\"x%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%281.5y%29 ALIGN=MIDDLE  ALT=\"x%2F%281.5y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%2Fa ALIGN=MIDDLE  ALT=\"%282x%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by 3ay, clear the denominators<BR>\n" );
document.write( "3ax + 2ax = 3y(2x)<BR>\n" );
document.write( "5ax = 6xy<BR>\n" );
document.write( "divide both sides by x<BR>\n" );
document.write( "5a = 6y<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F5 ALIGN=MIDDLE  ALT=\"6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >y is the average speed for the round trip<BR>\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );