document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=997465>Question 997465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/4 journey at 25 km/h 1/3 at 30km/h and rest at 50km/h.find average speed </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615617 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=615617\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/4 journey at 25 km/h 1/3 at 30km/h and rest at 50km/h.<BR>\n" );
document.write( "find average speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let a = the average speed<BR>\n" );
document.write( "We can make this easy, choose a convenient value for the distance of the trip<BR>\n" );
document.write( "Dist = 120 km<BR>\n" );
document.write( "them<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >*120 = 30 km<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*120 = 40 km<BR>\n" );
document.write( "and<BR>\n" );
document.write( "50 km = the remainder of the trip<BR>\n" );
document.write( ":<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=30%2F25 ALIGN=MIDDLE  ALT=\"30%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F30 ALIGN=MIDDLE  ALT=\"40%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F50 ALIGN=MIDDLE  ALT=\"50%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2Fa ALIGN=MIDDLE  ALT=\"120%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Multiply equation by 150a, cancel the denominators and you have<BR>\n" );
document.write( "6a(30) + 5a(40) + 3a(50) = 150(120)<BR>\n" );
document.write( "180a + 200a + 150a = 18000<BR>\n" );
document.write( "530a = 18000<BR>\n" );
document.write( "a = 18000/530<BR>\n" );
document.write( "a = 33.96 ~ 34 km/hr is the average speed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );