document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895063>Question 895063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On his way from suburb A to suburb B, the bus driver maintained a speed of 44 km/h. When he arrived at B, he found out that he needed to hurry to be back at A in time. So he drove the bus at a constant speed of 66 km/h on his way back along the same route. What speed did he need to keep constant during the whole trip so that it would take the same time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542529 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=542529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  On his way from suburb A to suburb B, the bus driver maintained a speed of 44 km/h.<BR>\n" );
document.write( " When he arrived at B, he found out that he needed to hurry to be back at A in time.<BR>\n" );
document.write( " So he drove the bus at a constant speed of 66 km/h on his way back along the same route.<BR>\n" );
document.write( " What speed did he need to keep constant during the whole trip so that it would take the same time?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = the one-way dist form A to B<BR>\n" );
document.write( "let a = the 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=d%2F44 ALIGN=MIDDLE  ALT=\"d%2F44\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F66 ALIGN=MIDDLE  ALT=\"d%2F66\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2Fa ALIGN=MIDDLE  ALT=\"%282d%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply equation by 132a, cancel the denominators and you have:<BR>\n" );
document.write( "3ad + 2ad = 132(2d)<BR>\n" );
document.write( "5ad = 264d<BR>\n" );
document.write( "divide both sides by d<BR>\n" );
document.write( "5a = 264<BR>\n" );
document.write( "a = 265/5<BR>\n" );
document.write( "a = 52.8 km/h for the whole trip will take the same time </SPAN>\n" );
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