document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179934>Question 1179934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Justin can run 10 km in the same amount of time that Leo can run 12 km. if Leo can run 1 kph faster than Justin, how fast can Leo run? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809550 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=809550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The response from the other tutors solve the problem by using the \"times are the same\" equation:<BR>\n" );
document.write( "Justin's time = 10km/x mph<BR>\n" );
document.write( "Leo's time =12km/(x+1)mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fx+=+12%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"10%2Fx+=+12%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That leads to a relatively easy solution using basic algebra.<br><BR>\n" );
document.write( "Setting up the problem using a different proportion makes solving the problem easier.<br><BR>\n" );
document.write( "Since the times are the same, the ratio of distances is equal to the ratio of speeds:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F10=%28x%2B1%29%2Fx ALIGN=MIDDLE  ALT=\"12%2F10=%28x%2B1%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Simplify the numerical fraction on the left:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F5+=+%28x%2B1%29%2Fx ALIGN=MIDDLE  ALT=\"6%2F5+=+%28x%2B1%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That equation COULD be solved using formal algebra; but it can also be solved by inspection: x=5 makes the fraction on the right 6/5, which is the same as the fraction on the left.<br><BR>\n" );
document.write( "ANSWER: Leo's speed is x+1=6 mph<br><BR>\n" );
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