document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970958>Question 970958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car completes a journey in 10 minutes. For the first half of the distance the speed was 60km/hr and the second half the speed was 40 km/hr. How far is the journey?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854520 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13355)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The other tutor provided a formal algebraic solution, using a standard method.<br><BR>\n" );
document.write( "Here is a different, less formal solution.<br><BR>\n" );
document.write( "Equal distances at different speeds in the ratio A:B means the times spent at the two speeds are in the ratio B:A.<br><BR>\n" );
document.write( "In this problem, the two speeds are in the ratio 60:40 = 3:2, so the times spent at the two speeds are in the ratio 2:3.<br><BR>\n" );
document.write( "The total time was 10 minutes; splitting that in the ratio 2:3 means the trip was 4 minutes (1/15 hour) at 60 km/h and 6 minutes (1/10 hour) at 40km/h.<br><BR>\n" );
document.write( "Distance is rate times time, so the distance traveled at 60 km/h was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F15%29%286%29=4 ALIGN=MIDDLE  ALT=\"%281%2F15%29%286%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > km and the distance traveled at 40 km/h was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F10%29%2840%29=4 ALIGN=MIDDLE  ALT=\"%281%2F10%29%2840%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > km.<br><BR>\n" );
document.write( "So the total distance was 4+4 = 8 km.<br><BR>\n" );
document.write( "ANSWER: 8 km<br><BR>\n" );
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