document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=495288>Question 495288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a boy travels with a speed of 30 kmph for first 1/3 journey time during the remaining journey time he travels with a speed 60kmph find the average speed of the boy\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336159 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=336159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a boy travels with a speed of 30 kmph for first 1/3 journey time during the remaining journey time he travels with a speed 60kmph find the average speed of the boy<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = total time<BR>\n" );
document.write( "then<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;\" >t = time at 30 km/h<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >t = time at 60 km/h<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let a = average speed for the journey<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a distance equation: dist = speed * time <BR>\n" );
document.write( ":<BR>\n" );
document.write( "30km/h dist + 60 km/h dist = total dist<BR>\n" );
document.write( "30*<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;\" >t + 60*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >t = at<BR>\n" );
document.write( "We can cancel out the denominators<BR>\n" );
document.write( "10t + 20(2t) = at<BR>\n" );
document.write( "10t + 40t = at<BR>\n" );
document.write( "we don't care about t, divide thru by t and eliminate it<BR>\n" );
document.write( "10 + 40 = a<BR>\n" );
document.write( "a = 50 km/h is the average speed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );