document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=884374>Question 884374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Stefan could wash the cars by himself in 6 hours and Misha could wash the cars by himself in 5 hours. Stefan starts washing the cars by himself, but he needs to go to his football game after 2.5 hours. Misha continues the task. How long did it take Misha to finish washing the cars? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #534224 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=534224\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What fraction of the cars did Stefan wash in 2.5 hrs?<BR>\n" );
document.write( "His rate of washing is:<BR>\n" );
document.write( "( 1 job ) / ( 6 hrs ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that I call washing all the cars 1 job<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = fraction of cars he washes in 2.5 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F6+=++x%2F2.5+ ALIGN=MIDDLE  ALT=\"+1%2F6+=++x%2F2.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2A2.5+ ALIGN=MIDDLE  ALT=\"+6%2A2.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2.5+=+6x+ ALIGN=MIDDLE  ALT=\"+2.5+=+6x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+2.5%2F6+ ALIGN=MIDDLE  ALT=\"+x+=+2.5%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+5%2F12+ ALIGN=MIDDLE  ALT=\"+x+=+5%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "So, Stefan washes 5/12 of the cars in 2.5 hrs. That<BR>\n" );
document.write( "means there are 7/12 of the cars left to wash<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "Misha takes over by himself. His rate is:<BR>\n" );
document.write( "( 1 job ) / ( 5 hrs ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F5+ ALIGN=MIDDLE  ALT=\"+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in hrs for him to finish washing cars<BR>\n" );
document.write( "by himself<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F5+=+%28+7%2F12+%29+%2F+t+ ALIGN=MIDDLE  ALT=\"+1%2F5+=+%28+7%2F12+%29+%2F+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F5+=+7%2F%28+12%2At+%29+ ALIGN=MIDDLE  ALT=\"+1%2F5+=+7%2F%28+12%2At+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A12%2At+ ALIGN=MIDDLE  ALT=\"+5%2A12%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12t+=+5%2A7+ ALIGN=MIDDLE  ALT=\"+12t+=+5%2A7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+35%2F12+ ALIGN=MIDDLE  ALT=\"+t+=+35%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+2+%2B+11%2F12+ ALIGN=MIDDLE  ALT=\"+t+=+2+%2B+11%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "How many minutes is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11%2F12+ ALIGN=MIDDLE  ALT=\"+11%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2811%2F12%29%2A60+=+55+ ALIGN=MIDDLE  ALT=\"+%2811%2F12%29%2A60+=+55+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Misha takes 2 hrs and 55 min to finish washing the cars<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );